Commitments and Contingencies - Additional Information (Details) $ in Billions	Dec. 31, 2024 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Contingent payments	$ 3.7

Contingent Payments Under Company's License Agreements

No definition available.

Name:	lnth_ContingentPaymentsUnderCompanysLicenseAgreements
Namespace Prefix:	lnth_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant