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v3.23.1

INCOME TAXES (Details 3) - USD ($) $ in Thousands | Jan. 31, 2023 | Jan. 31, 2022
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INCOME TAXES |  |
Long-term deferred tax liability | $ 2,764 | $ 2,072
Long-term deferred tax asset | $ 769 | $ 0

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Period Type: | instant

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Namespace Prefix: | lake_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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Namespace Prefix: | us-gaap_
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