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The greatest common multiple of any set of integers is infinite.

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7y ago
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6y ago

It is infinity but the lowest common multiple is 210

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Q: What is the gcm of 30 and 40?
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What is the GCM for 26 and 30?

Since there are infinite numbers which are multiples of both 26 and 30, there is no GCM of 26 and 30.


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What is the GCM of 7 and 13?

There can be no GCM (Greatest Common Multiple). Suppose a GCM exists and suppose it is x. That is, x is the GCM of 7 and 13, then 2x is a multiple of both 7 and 13 and is greater than x. This contradicts the statement that x is the GCM. So x cannot be the GCM.