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What is a common multiple?

What is a common multiple? Here are some definitions.

Noun
  1. (mathematics) A number which may be divided by any of a given set of numbers without a remainder.
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Examples
The model was run over 300 years, the least common multiple of the forest rotations.
As these two numbers, contain no common factor, their least common multiple is their product, which is the number sought.
I don't know how to do the least common multiple and the least common denominator.
Each player tries to be the first to state the least common multiple of the two cards on the table.
We will now see how to find the greatest common divisor and the lowest common multiple of two numbers from their prime factorizations.
Group education combined with feedback was the most common multiple strategy.

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