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Home » The component of gravitational force along the incline is \( mg \sin(\theta) \). - Network4

The component of gravitational force along the incline is \( mg \sin(\theta) \). - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 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 $.

📌 Thus, the smallest positive integer divisible by both is $ \boxed{36} $.

📌 Question: What is the remainder when $ 2^{10} $ is divided by 7?

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