# What is the LCM of 13 and 11?

LCM of 13 and 11 is the smallest number which divides both 13 and 11 exactly without a remainder.

## Answer: LCM of 13 and 11 is 143

## Explanation

For 13 and 11, the smallest number which would be perfectly divisible by them is their LCM which is 143. Let us see how to calculate it below:

Least Common Multiple of 13 and 11 is the smallest number that will divide 13 and 11 exactly.

### LCM of 13 and 11 by Common Division Method

Here we will divide the numbers 13 and 11 simultaneously with prime numbers until we don't have a prime number to further divide both 13 and 11.

Now, the product of the prime numbers used in the division is the LCM of 11 and 13.

### LCM of 13 and 11 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

Note, that 13 and 11 are prime numbers and there are no common factors other than 1. So, GCF (13, 11) = 1

Therefore, LCM of 13 and 11 = (13 × 11) / 1

= 143/1 = 143

So, LCM of 13 and 11 = 143