This LCM calculator finds the least common multiple of 2 or 3 numbers which is the smallest number (non-zero number) that is a multiple of two or more no.


First number: *
Second number: *
Third number:

What does LCM stand for?

In math LCM is the abbreviation for Least Common Multiple which represents the smallest number (non-zero number) that is a multiple of two or more given numbers. For instance the LCM for 2, 4 and 8 is 8 as: 2 * 4 = 8, 4 * 2 = 8, 8 * 1 = 8.

In order to find the least common multiples of two or more numbers  the first thing to do is write out the prime factors of each number. For instance let’s figure out the LCM for 10 and 32:

10 = 2 * 5

32 = 2 * 2 * 2 * 2 * 2

Then you have to multiply each factor the greatest number of times it occurs in either number. In case the same factor appears more than once in both numbers, you multiply the factor the greatest number of times it appears.

Then you have to multiply each factor the greatest number of times it appears in either number.

In case the same factor occurs more than a single time in both numbers, you multiply the factor the greatest number of times it appears.

In our example 2 appears five times while 5 occurs only once, thus the LCM = 2^5 * 5 = 32 * 5 = 160.

Instead of doing this calculation by hand you can use this LCM calculator.

11 Apr, 2015 | 0 comments

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