This online Least Common Multiple Calculator finds the least common multiple (LCM) of a set of integer numbers which is the smallest positive integer that is evenly divisible by all the numbers. Enter the set of numbers in the input field of the calculator and click the ‘Calculate’ button. You can paste the input data copied from a spreadsheet or csv-file or enter manually using comma, space or enter as separators. The input numbers can be positive or negative integers or 0, in the latter case the LCM = 0.
Least Common Multiple
The least common multiple (also known as the lowest common multiple or smallest common multiple) of a group of integer numbers is the smallest positive number that is divisible by all the numbers in the group. It is of practical use, before performing additions or subtractions of fractions with different denominators, to convert all fractions so that the denominator is the least common multiple of all the denominators. That’s why the LCM is, sometimes, referred to as the lowest common denominator or LCD.
There are many algorithms to calculate the LCM. This Least Common Multiple Calculator uses the associative law:
and the following formula that reduces the problem of computing the least common multiple to the problem of computing the greatest common divisor (GCD), also known as the greatest common factor:
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