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📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 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 $.

📌 The least common multiple is $ \boxed{2160} $.

📌 Question: What is the remainder when $ 12083 + 12085 + 12087 + 12089 $ is divided by 8?

📌 + 12085 + 12087 + 12089 = (12083 + 12089) + (12085 + 12087) = 24172 + 24172 = 48344

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