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Note 3 - Summary of Significant Accounting Policies - Teucrium Sugar Fund (Details Textual)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2024
USD ($)
shares
Jun. 30, 2023
USD ($)
Jun. 30, 2024
USD ($)
shares
Jun. 30, 2023
USD ($)
Dec. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Open Tax Year     2021 2022 2023        
Unrecognized Tax Benefits $ 0   $ 0   $ 0 $ 0 $ 0
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense 0 $ 0 $ 0 $ 0      
Teucrium Sugar Fund [Member]              
Open Tax Year     2021 2022 2023        
Unrecognized Tax Benefits 0   $ 0   $ 0 $ 0 $ 0
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense $ 0 $ 0 $ 0 $ 0      
Authorized Purchaser, Minimum Level of Creation Baskets, Shares (in shares) | shares 25,000   25,000        
Authorized Purchaser, Redemption Baskets, Minimum Blocks of Shares (in shares) | shares 25,000   25,000        
Minimum Level of Shares Per Redemption Basket (in shares) | shares 50,000   50,000        
Minimum Number of RedemptionBaskets 2   2        
Teucrium Sugar Fund [Member] | Teucrium Trading, LLC [Member]              
Management Fee, Percentage of Average Daily Net Assets     1.00%