2x i think
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There is no greatest common multiple. Ever! If x were the greatest common multiple, then what about 2x? Since x is a multiple of 16 and 24 then so also is 2x, so that 2x is a COMMON multiple. And it would certainly be greater that x. So 2x is a common multiple that is greater than the greatest common multiple. What?!
If GCM stands for Greatest Common Multiple, there is no such number. This is because if x is claimed as the GCM then 2x is a common multiple of both 6 and 8 and 2x > x.
Least common multiple = 7x X 2 = 14x
There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.
There can be no greatest common multiple. If x were the greatest common multiple, then 2x would be a still greater common multiple. So x could not be the greatest. Thus there is no such thing as a greatest common multiple.