The Collaborative International Dictionary
Multiple \Mul"ti*ple\, n. (Math.) A quantity containing another quantity an integral number of times without a remainder.
Note: A
common multiple of two or more numbers contains each of them a number of times exactly; thus, 24 is a common multiple of 3 and 4. The
least common multiple is the smallest number that will do this; thus, 12 is the least common multiple of 3 and 4 (abbreviated LCM).
Wiktionary
n. (context mathematics English) A number which may be divided by any of a given set of numbers without a remainder.
WordNet
n. an integer that is a multiple of two or more other integers
Usage examples of "common multiple".
Of course, if we wanted simply any number, not the smallest, the solution is very easy, for we merely take the least common multiple of 13, 12, 11, 10, etc.
Actually there might be several of these so-called common multiples, but from a practical standpoint the only one that matters is the first one--the least common multiple, or LCM--because that's the one that will be reached first and that will cause the chain to fall off.