# Manuals/calci/LCM

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**LCM()**

- Parameters are any set of numbers.
- LCM() returns the least common multiple.

## Description

- LCM is the
**least common multiple**(also known as**lowest common multiple**or**smallest common multiple**or**least common denominator (LCD)**of a set of integers a,b,c,...,n. - LCM is the smallest integer that is divisible by each of them.
- The argument can be one or many integers.

What is the LCM of 2 and 5?

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ...

and the multiples of 5 are: 5, 10, 15, 20, 25, 30, ...

Common multiples of 2 and 5 are simply the numbers that are in both lists: 10, 30, ....

So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10.

## Examples

- =LCM(10,20) =20
- =LCM(1,2,3,4,5) = 60
- =LCM(12,19,23,17)= 89148
- =LCM(1.2,1.3,1.4,1.5,3.4,5.3)= 15
- =LCM(-2,-4,8,12) = #N/A (LCM NOT DEFINED FOR -VE NUMBERS)

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# See Also

# References