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Long Term Rehabilitation Provision (Details) - Schedule of Long Term Rehabilitation Provision - USD ($)	12 Months Ended
	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