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Interest Income (Details)	Dec. 31, 2023
Bottom of Range [Member]
Interest Income (Details) [Line Items]
Cash in bank deposits interest averaging	0.10%
Top of Range [Member]
Interest Income (Details) [Line Items]
Cash in bank deposits interest averaging	5.19%

X

- Definition

The percentage of bank interest rate.

+ References

No definition available.

+ Details

Name:	lzm_BankInterestRate
Namespace Prefix:	lzm_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	lzm_InterestIncomeDetailsLineItems
Namespace Prefix:	lzm_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	ifrs-full_RangeAxis=ifrs-full_BottomOfRangeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	ifrs-full_RangeAxis=ifrs-full_TopOfRangeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: