<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-11-16</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001664106</issuerCik>
        <issuerName>LogicBio Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>LOGC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001863053</rptOwnerCik>
            <rptOwnerName>Gruskin Daniel</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LOGICBIO THERAPEUTICS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>65 HAYDEN AVE, FLOOR 2</rptOwnerStreet2>
            <rptOwnerCity>LEXINGTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02421</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Medical Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-11-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3331</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.70</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2022-11-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>140000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2032-03-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>140000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the Agreement and Plan of Merger, dated as of October 3, 2022 (the &quot;Merger Agreement&quot;), by and among LogicBio Therapeutics, Inc. (the &quot;Company&quot;), Alexion Pharmaceuticals, Inc. (&quot;Parent&quot;) and Camelot Merger Sub, Inc. (&quot;Merger Sub&quot;), on November 16, 2022 (the &quot;Effective Time&quot;), Merger Sub merged with and into the Company (the &quot;Merger&quot;), with the Company continuing as the surviving corporation in the Merger and as a wholly-owned subsidiary of Parent, and, at the Effective Time, each share of common stock, par value $0.0001 per share, of the Company was cancelled and converted into the right to receive $2.07 in cash, without interest, less any applicable withholding taxes.</footnote>
        <footnote id="F2">The options were granted on March 1, 2022. The options were scheduled to vest over four years: 25% of the options were scheduled to vest on the first anniversary of the grant date with the remaining 75% vesting in equal monthly installments thereafter, subject to the Reporting Person's continued service with the Company on each vesting date.</footnote>
        <footnote id="F3">At the Effective Time, each option was cancelled pursuant to the terms of the Merger Agreement; provided, that each option with a per share exercise price equal to or greater than $2.07 was automatically cancelled for no consideration. For more information see the Solicitation/Recommendation Statement on Schedule 14D-9 filed by the Company with the United States Securities and Exchange Commission on October 18, 2022.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Frederic Chereau, as Attorney-in-Fact</signatureName>
        <signatureDate>2022-11-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
