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Long Term Rehabilitation Provision (Details) - Schedule of Long Term Rehabilitation Provision - USD ($) | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Schedule of Long Term Rehabilitation Provision [Abstract] |  |
Asset retirement obligation provision |  | $ 303,000

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- Definition Asset retirement obligation provision. + References No definition available. + Details
Name: | lzm_AssetRetirementObligationProvision
Namespace Prefix: | lzm_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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