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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]      
Distribution, date of payment Dec. 22, 2023    
Distribution, date of record Dec. 19, 2023    
Average charges paid to broker per round-turn trade, maximum $ 7 $ 7 $ 7
LME contracts payable 4,456,438 $ 50,841,104  
Distributions $ 599,093    
General Shares [Member]      
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]      
Distribution, amount per share $ 1.08926 $ 0.14467  
Distributed earnings $ 44 $ 6  
Shares [Member]      
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]      
Distribution, amount per share $ 1.08926 $ 0.14467  
Distributed earnings $ 84,798,891 $ 16,159,639