Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]
Distributions unpaid	$ 395,895
Distributions paid date	Dec. 22, 2023
Distributions record date	Dec. 19, 2023
Average charges paid to broker per round-turn trade, maximum	$ 13.00	$ 13.00	$ 13.00
Receivable for LME contracts		62,908,834
Payable for LME contracts	4,329,738	62,908,834
General Shares [Member]
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]
Distributed earnings	$ 53	$ 7
Distribution per General Share	$ 1.31965	$ 0.18371
Shares [Member]
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]
Distributed earnings	$ 9,171,567	$ 2,222,891
Distribution per General Share	$ 1.31965	$ 0.18371