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Home » Mnemosyne Daughters Unleashed: Are They the Key to Forgotten History? Click Now! - DNSFLEX

Mnemosyne Daughters Unleashed: Are They the Key to Forgotten History? Click Now! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Solution: The prime factorization is already given: $ 2^4 \cdot 3^3 \cdot 5^2 $. The largest prime factor is clearly $ \boxed{5} $.

📌 Question: What is the smallest positive integer divisible by both 12 and 18?

📌 Solution: To find the least common multiple of 12 and 18, factor both:

📌 $ 12 = 2^2 \cdot 3 $

📌 $ 18 = 2 \cdot 3^2 $

📌 Take the maximum exponent for each prime:

📌 $ 2^2 $, $ 3^2 $

📌 So, LCM is $ 2^2 \cdot 3^2 = 4 \cdot 9 = 36 $.

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