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The smallest number divisible by both 2 and 5 is their least common multiple (LCM), which is the smallest number that is a multiple of both 2 and 5. The LCM of 2 and 5 is the product of the two numbers divided by their greatest common divisor (GCD). The GCD of 2 and 5 is 1, so the LCM is 2 * 5 / 1 = 10. Therefore, the smallest number divisible by both 2 and 5 is 10.

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