LCM of 96 and 108

LCM of 96 and 108 is 864. The Least Common Multiple or Lowest Common Multiple simply known as LCM is the smallest common multiple to the given group of numbers. In the given set of numbers 96 and 108, 864 is the first(least or smallest) number that is common in the set of multiples of 96 and 108. The LCM is also known as LCD, Least Common Divisor for 96 and 108 is 864. You can read more on LCM for further details.

What is LCM of 96 and 108

The Least Common Multiple or Lowest Common Multiple of 96 and 108 is 864.

How to Find LCM of 96 and 108?

LCM of 96 and 108 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 96 and 108 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers 96 and 108 can be expressed as;

96 = 2 × 2 × 2 × 2 × 2 × 3

108 = 2 × 2 × 3 × 3 × 3 

The product of common prime divisors and other prime divisors of 96 and 108 forms the LCM.

LCM (96, 108) = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 864

LCM of 96 and 108 Using Division Method

In the Division Method, The product of all the prime divisors that divides 96 and 108 when divided together will be the LCM.

LCM (96, 108) = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 864

LCM of 96 and 108 Using Listing the Multiples

By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 96 and 108.

LCM (96, 108) = 864

Related Articles

• LCM Calculator
• LCM with Examples
• HCF and LCM
• LCM Formula
• Prime Factorization and Division method

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 96 and 108?

Answer: 864 is the smallest number that is divisible by both 96 and 108. 

What is the LCM for 2, 3, 108 and 96? 

Answer: LCM for 2, 3, 108 and 96 is 864 as 2 and 3 are both factors of 108 and 96.