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There is no greatest common multiple of any set of numbers. Whatever number you say is their greatest common multiple, I can add their lowest common multiple and get an even greater number.

I suspect you want one of:

Greatest Common Factor (the highest (positive) number that divides into both without any remainder): GCF(72, 12) = 12

Lowest Common Multiple (the lowest (positive) number that is a multiple of both, that is they both divide into without any remainder); LCM(72, 12) = 72

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There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

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Q: What is the greatest common multiple of 12 and 72?
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