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📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solution: To find the GCD, take the minimum exponent for each common prime factor:

📌 For $ 2 $: $ \min(5, 3) = 3 $

📌 For $ 3 $: $ \min(2, 4) = 2 $

📌 $ 5 $ and $ 7 $ are not common to both.

📌 Thus, the GCD is $ 2^3 \cdot 3^2 = 8 \cdot 9 = 72 $.

📌 The greatest common divisor is $ \boxed{72} $.

📌 Question: What is the least common multiple of $ 2^4 \cdot 3 $ and $ 2^2 \cdot 3^3 \cdot 5 $?

📌 Solution: To find the LCM, take the maximum exponent for each prime factor:

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