# What is the LCM of 96 and 404?

The smallest number which is exactly divisible by both 96 and 404 is called the least common multiple of 96 and 404.

## Answer: LCM of 96 and 404 is 9696

Lets see how to find the LCM of 96 and 404

## Explanation:

The least common multiple, in short LCM, is the smallest number which the given numbers divide exactly .i.e, without any remainder.

## Methods to Find LCM of 96 and 404

Let us use the following methods to find the LCM of 96 and 404

- Common Division
- Formula

### Find LCM of 96 and 404 by Common Division Method

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.

### LCM of 96 and 404 by Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)

The Greatest common factor(GCF) of (96,404)=4

Therefore

LCM of 96 and 404 = (96 ×404)/ 4

= 38784/4 = 9696

LCM of 96 and 404 = 9696

Irrespective of the method, the solution to our question LCM of 96 and 404 is the same.