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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.
The number 30 is the smallest whole number divisible by both 10 and 6.
1000 is the smallest 4 digit number but of the two factors, it is only divisible by 2. As 999 is obviously divisible by 3 then 999 + 3 = 1002 is also divisible by 3 and, as an even number, is also divisible by 2. The answer is 1002
1002 is the smallest 4 digit number divisible by 3 and 2.
Any number that is divisible by both 2 and 3 is divisible by 6.