# What is the LCM of 10 and 11?

The Least Common Multiple is a number found that is smallest and also perfectly divisible by the given numbers.

## Answer: LCM of 10 and 11 is 110

Lets see how to find the LCM of 10 and 11

## Explanation:

Least Common Multiple: It is the smallest of the least number which the given numbers divide perfectly, that is leaving 0 as remainder on division.

## Methods to Find the LCM of 10 and 11

Let us use the following methods to find the LCM of 10 and 11

### LCM of 10 and 11 by Formula Method

Statement: The product of any two given numbers 'a' and 'b' is always equal to the product of their LCM and GCF.

Formula: a×b=LCM(a,b) × GCF(a,b)

LCM(a,b)=(a×b)/GCF(a,b)

The GCF of (10,11) = 1

Therefore

LCM of 10 and 11 = (10 × 11) / 1

= 110/1= 110

LCM of 10 and 11 = 110

### LCM of 10 and 11 by Prime Factorisation

Here represent all the numbers in their prime factorised form and take all the factors with the highest powers.