# Find the LCM of 10 and 45

LCM of 10 and 45 is the smallest number which divides both of them exactly without leaving a remainder.

## Answer: LCM of 10 and 45 is 90

The least common multiple of 10 and 45 is the smallest number that is exactly divisible by both of them without any remainder.

## Explanation:

Let us see how to calculate it below:

### LCM of 10 and 45 using Common Division Method

In this method, we divide both 10 and 45 simultaneously with prime numbers until we don't have a prime number to further divide them.

We see that we had used 2,3, 3 and 5 are used for dividing the numbers 10 and 45. Product of these prime numbers is the LCM.

### LCM of 10 and 45 by listing the common factors:

In this method, we list the first few multiples of 10 and 45 to identify their common multiples.

Multiples Of 10 = 10,20, 30, 40, 50, 60, 70, 80, 90,...

Multiples of 45 = 45, 90,....

The least among the common multiples of 10 and 45 is 90, which is the LCM of 10 and 45.