Allowance for Credit Losses - Summary of Allowance for Credit Losses by Loan Segment (Detail) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended	12 Months Ended
Sep. 30, 2024	Sep. 30, 2023	Jun. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	$ 26,289	$ 10,228		$ 23,767	$ 4,666	$ 4,666
Impact of adopting ASC 326					5,655
Charge-offs	(23)	0		(118)	0
Recoveries	51	12		96	111
Allowance for Credit Losses on PCD Acquired Loans				2,300
Provision for credit losses	225	(276)		497	(468)
Ending balance	26,542	9,964	$ 10,228	26,542	9,964	23,767
ASU 2016-13 [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Impact of adopting ASC 326					0
Agriculture and Farmland [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	12	209		12	279	279
Impact of adopting ASC 326					(190)
Charge-offs	0			0	0
Recoveries	0	0			0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	0	(130)		0	(10)
Ending balance	12	79	209	12	79	12
Construction [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	1,841	728		959	274	274
Impact of adopting ASC 326					513
Charge-offs	0		0	0	0
Recoveries	1	0		3	0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	(537)	(275)		343	(334)
Ending balance	1,305	453	728	1,305	453	959
Commercial and Industrial [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	3,435	729		2,940	583	583
Impact of adopting ASC 326					283
Charge-offs	0		0	(10)	0
Recoveries	37	0		46	1
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	(368)	126		128	(12)
Ending balance	3,104	855	729	3,104	855	2,940
Multifamily [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	1,914	673		1,483	480	480
Impact of adopting ASC 326					340
Charge-offs	0		0		0
Recoveries	0	0		2	0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	263	(254)		692	(401)
Ending balance	2,177	419	673	2,177	419	1,483
Owner Occupied [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	5,882	1,559		6,572	635	635
Impact of adopting ASC 326					760
Charge-offs	(23)		0	(29)	0
Recoveries		0		1	0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	148	197		(537)	361
Ending balance	6,007	1,756	1,559	6,007	1,756	6,572
Non-owner Occupied [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	8,026	4,350		5,773	1,116	1,116
Impact of adopting ASC 326					3,195
Charge-offs	0		0	(54)	0
Recoveries	0	0		5	0
Allowance for Credit Losses on PCD Acquired Loans				2,300
Provision for credit losses	730	(220)		732	(181)
Ending balance	8,756	4,130	4,350	8,756	4,130	5,773
First Liens [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	4,047	1,397		4,778	1,029	1,029
Impact of adopting ASC 326					635
Charge-offs	0		0	0	0
Recoveries	6	11		19	50
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	(285)	44		(1,029)	(262)
Ending balance	3,768	1,452	1,397	3,768	1,452	4,778
Second Liens and Lines of Credit [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	977	383		1,072	218	218
Impact of adopting ASC 326					140
Charge-offs	0		0	0	0
Recoveries	3	1		12	60
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	119	(58)		15	(92)
Ending balance	1,099	326	383	1,099	326	1,072
Municipal [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	64	7		79	12	12
Impact of adopting ASC 326					(2)
Charge-offs	0		0	0	0
Recoveries		0			0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	1	0		(14)	(3)
Ending balance	65	7	7	65	7	79
Consumer [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance	91	22		99	40	40
Impact of adopting ASC 326					(19)
Charge-offs	0		0	(25)	0
Recoveries	4	0		8	0
Allowance for Credit Losses on PCD Acquired Loans				0
Provision for credit losses	154	2		167	3
Ending balance	$ 249	24	22	$ 249	24	99
Unallocated [Member]
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning balance		171			0	$ 0
Charge-offs			0		0
Recoveries		0			0
Provision for credit losses		292			463
Ending balance		$ 463	$ 171		$ 463

New accounting pronouncement or change in accounting principle effect of adoption.

No definition available.

Name:	lnkb_NewAccountingPronouncementOrChangeInAccountingPrincipleEffectOfAdoption
Namespace Prefix:	lnkb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of increase in allowance for credit loss on financing receivable purchased with credit deterioration.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

+ Details

Name:	us-gaap_FinancingReceivableAllowanceForCreditLossPurchasedWithCreditDeteriorationIncrease
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of allowance for credit loss on financing receivable. Excludes allowance for financing receivable covered under loss sharing agreement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 11B
-Subparagraph (c)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481962/310-10-50-11B

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph c
-Publisher SEC

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph a
-Subparagraph (1)
-Publisher SEC

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph a
-Subparagraph (3)
-Publisher SEC

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479344/326-20-45-1

Reference 7: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(7)(2))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1

Reference 8: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

Reference 9: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (f)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

+ Details

Name:	us-gaap_FinancingReceivableAllowanceForCreditLosses
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph c
-Publisher SEC

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

+ Details

Name:	us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of increase in allowance for credit loss on financing receivable from recovery.

+ References

+ Details

Name:	us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of writeoff of financing receivable, charged against allowance for credit loss.

+ References

+ Details

Name:	us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of credit loss expense (reversal of expense) for financing receivable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 942
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-04(11))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478524/942-220-S99-1

+ Details

Name:	us-gaap_ProvisionForLoanLossesExpensed
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_AdjustmentsForNewAccountingPronouncementsAxis=us-gaap_AccountingStandardsUpdate201613Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_AgricultureAndFarmlandMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_ConstructionPortfolioSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_CommercialAndIndustrialPortfolioSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_CommercialRealEstateMultifamilyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_CommercialRealEstateOwnerOccupiedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_CommercialRealEstateNonOwnerOccupiedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_ResidentialRealEstateFirstLiensMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_ResidentialRealEstateSecondLiensAndLinesOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=lnkb_MunicipalLoansPortfolioSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=us-gaap_ConsumerPortfolioSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancingReceivablePortfolioSegmentAxis=us-gaap_UnallocatedFinancingReceivablesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: