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📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 \( 12 = 2^2 \times 3^1 \)

📌 \( 18 = 2^1 \times 3^2 \)

📌 The LCM is found by taking the highest power of each prime that appears in the factorizations:

📌 Highest power of 2: \( 2^2 \)

📌 Highest power of 3: \( 3^2 \)

📌 Thus, the LCM is:

📌 \text{LCM}(12, 18) = 2^2 \times 3^2 = 4 \times 9 = 36

📌 Therefore, the least common multiple of the quantities the boxes can hold is \(\boxed{36}\).

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