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Concentration of Risk (Details Narrative) - USD ($) $ in Millions | Jul. 31, 2025 | Jan. 31, 2025
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Concentration of Risk [Abstract] |  |
Cash balances in banks in the United States of America | $ 2.2 | $ 1.3
Cash balances in foreign bank accounts | 15.5 | 16.2
Uninsured amount | $ 17.0 | $ 16.7

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- References No definition available. + Details
Name: | lake_CashBalancesInBanksInTheUnitedStatesOfAmerica
Namespace Prefix: | lake_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | lake_CashBalancesInForeignBankAccounts
Namespace Prefix: | lake_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | lake_ConcentrationOfRiskAbstract
Namespace Prefix: | lake_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition The amount of cash as of the balance sheet date that is not insured by the Federal Deposit Insurance Corporation. + References No definition available. + Details
Name: | us-gaap_CashUninsuredAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant