# What is LCM of 96 and 108?

The LCM of 96 and 108 is the least number that is exactly divisible by both 96 and 108. There are 3 methods to find the LCM of 96 and 108 i.e. by listing multiples, prime factorization, and using GCF(96, 108).

## Answer: LCM of 96 and 108 is 864

** Explanation: **

The Least Common Multiple (LCM) is the smallest number which is exactly divisible by the given numbers. We can find the LCM of 96 and 108 in many ways, the most commonly used methods are listed below.

## Methods to Find LCM of 96 and 108

The methods to compute the LCM of 96 and 108 are explained below.

### LCM of 96 and 108 using GCF

The formula of LCM is LCM(X, Y) = (X × Y) / GCF(X, Y)

- 96 × 108 = 10368
- GCF(96, 108) = 12

Therefore, the LCM of 96 and 108 = LCM(96, 108) = (96 × 108)/GCF(96, 108) = 10368/12 = 864

### LCM of 96 and 108 by Listing Some Multiples

In this method, we list the first few multiples of 96 and 108 and identify the common multiples. The least among the common multiples is the LCM of 96 and 108.

**Multiples of 96:**96, 192, 288, 384, 480, 576, 672, 768, 864, 960**Multiples of 108:**108, 216, 324, 432, 540, 648, 756, 864, 972, 1080

We find that the 9^{th} multiple of 96 is common with the 8^{th} multiple of 108. This number 864 is the least common multiple (LCM).

### LCM of 96 and 108 by Common Division Method

In this method, we divide 96 and 108 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 96 and 108.

### Therefore, the LCM of 96 and 108 is 864.

**☛ Also Check:**

- LCM of 96, 404 - LCM(96, 404) = 9696
- LCM of 6, 8, 12 - LCM(6, 8, 12) = 24
- LCM of 12, 16, 24 - LCM(12, 16, 24) = 48
- LCM of 11, 12 - LCM(11, 12) = 132
- LCM of 6, 8, 10 - LCM(6, 8, 10) = 120
- LCM of 6, 15 - LCM(6, 15) = 30
- LCM of 16, 24 - LCM(16, 24) = 48