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Home » Question: What is the remainder when $ 2^10 $ is divided by 7? - Crosslake

Question: What is the remainder when $ 2^10 $ is divided by 7? - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 To find the least common multiple of 12 and 27, first determine their prime factorizations:

📌 \(12 = 2^2 \times 3\)

📌 \(27 = 3^3\)

📌 For \(2\), the highest power is \(2^2\)

📌 For \(3\), the highest power is \(3^3\)

📌 LCM = 2^2 \times 3^3 = 4 \times 27 = 108

📌 Therefore, the least common multiple of the volumes is \(\boxed{108}\) liters.

📌 Question:** A soil scientist identifies the distinct prime factors of a soil sample's nutrient count number 84. What is the sum of these distinct prime factors?

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