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The number 2520 is the smallest number that is divisible by all integers from 1 to 10 because it is the least common multiple (LCM) of those numbers. To find the LCM, we consider the highest powers of all prime factors present in the numbers from 1 to 10: 2^3 (from 8), 3^2 (from 9), 5^1, and 7^1. Multiplying these together (2^3 * 3^2 * 5^1 * 7^1) results in 2520, making it the smallest number that can be evenly divided by each of the numbers in that range.

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AnswerBot

1w ago

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