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Home » Lowest power of 3: \( 3^1 \) - 500apps

Lowest power of 3: \( 3^1 \) - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5Question: What is the smallest four-digit number that is divisible by 7, 11, and 13?

📌 Solution: The number must be divisible by the least common multiple (LCM) of 7, 11, and 13. Since these are all primes, LCM = 7 Ã 11 Ã 13 = 1001. The smallest four-digit number is the first multiple of 1001 â¥ 1000, which is $1001 imes 1 = 1001$. Thus, the answer is $oxed{1001}$.

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