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To find common multiples of two or more numbers, you can list the multiples of each.

4, 8, 12, 16, 20, 24, 28, 32, 26, 40, 44

5, 10, 15, 20, 25, 30, 35, 40, 45

20 and 40 are the common multiples that are listed. 20 is the Least Common Multiple (LCM).

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Q: What same multiple does 4 and 5 have?
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What 4-digit number is divisible by 4 and 5 but not 4?

There is no number that is "divisible by 4" and "not divisible by 4" at the same time - a number cannot be both a multiple of 4 and not a multiple of 4.


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The least common multiple of 4 and 5 is 20. The least common multiple of 15 and 20 is 60. (Thus, the least common multiple of 4, 5, and 15 is 60.) Any multiple of 60 will also be a multiple of 4, 5, and 15.


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The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers. The least common multiple of 4, 5, and 9 is 180.


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