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Home » From Innocent to Diabolical: Discover the Dark Secrets of Evil Larry! - Leaselab

From Innocent to Diabolical: Discover the Dark Secrets of Evil Larry! - Leaselab

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 $2^9 = 12$

📌 Ah! $2^9 = 512 \equiv 512 \mod 25$: $25 \cdot 20 = 500$, $512 - 500 = 12$.

📌 So $2^9 \equiv 12 \pmod{25}$.

📌 Thus, the smallest such $n$ is $\boxed{9}$.

📌 Question: A scientific simulation uses a time step increment that is the least common multiple of 18, 24, and 36. What is the greatest common divisor of this LCM and the number 432?

📌 Solution: First, compute $\mathrm{lcm}(18, 24, 36)$.

📌 $18 = 2 \cdot 3^2$

📌 Take max exponents: $2^3 \cdot 3^2 = 8 \cdot 9 = 72$. So $\mathrm{lcm} = 72$.

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