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Contingent Consideration (Details) - Schedule of Carrying Amount for the Reporting Periods - USD ($)	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022
Schedule of Carrying Amount for the Reporting Periods {Abstract]
Beginning Balance	$ 3,689,755	$ 5,681,603
Repayment		(2,000,000)
Remeasurement gain	(156,047)	(235,505)
Accretion of interest	159,904	243,657
Ending Balances	$ 3,693,612	$ 3,689,755

X

- Definition

The increase (decrease) in reimbursement rights related to defined benefit obligation, resulting from the remeasurement of reimbursement rights. [Refer: Reimbursement rights related to defined benefit obligation, at fair value]

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Name IAS
-Number 19
-IssueDate 2023-01-01
-Paragraph 141
-Subparagraph c
-URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=19&code=ifrs-tx-2023-en-r&anchor=para_141_c&doctype=Standard
-URIDate 2023-03-23

+ Details

Name:	ifrs-full_GainLossOnRemeasurementOfReimbursementRights
Namespace Prefix:	ifrs-full_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The cash outflow for repayments of current borrowings. [Refer: Current borrowings]

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Name IAS
-Number 7
-IssueDate 2023-01-01
-Paragraph 17
-URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=7&code=ifrs-tx-2023-en-r&anchor=para_17&doctype=Standard
-URIDate 2023-03-23

+ Details

Name:	ifrs-full_RepaymentsOfCurrentBorrowings
Namespace Prefix:	ifrs-full_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Represent the amount of accretion of interest.

+ References

No definition available.

+ Details

Name:	lzm_AccretionOfInterest
Namespace Prefix:	lzm_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

The amount of gross carrying amount.

+ References

No definition available.

+ Details

Name:	lzm_GrossCarryingAmountBalance
Namespace Prefix:	lzm_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

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