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Home » Let \(x\) be the width of the path. - American Beagle Club

Let \(x\) be the width of the path. - American Beagle Club

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 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:

📌 For $ 2 $: $ \max(4, 2) = 4 $

📌 For $ 3 $: $ \max(1, 3) = 3 $

📌 For $ 5 $: $ \max(0, 1) = 1 $

📌 Thus, the LCM is $ 2^4 \cdot 3^3 \cdot 5 = 16 \cdot 27 \cdot 5 = 2160 $.

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