Because a greatest common multiple would (in theory) be infinity. The multiples would simply keep going up and up and up forever.
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The greatest common FACTOR of 90 and 108 is 18. The LEAST common multiple is 540. There can be no greatest common multiple since double that number will be a greater common multiple.
The greatest common multiple of any set of integers is infinite.
The greatest common multiple of 8 and 20 is 4.
There is no such thing as a Greatest Common Multiple - there are such terms as Lowest Common Multiple, and Greatest Common Factor.
The definition of the greatest common multiple of any two numbers is an infinite number.