LCM of 32 and 36

LCM of 32 and 36 is 288. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 32 and 36, 288 is the first(least or smallest) number that is common in the set of multiples of 32 and 36. There are other common multiples out of which 288 is the smallest. The LCM is also known as LCD, Least Common Divisor for 32 and 36 is 288. You can read more on LCM for further details.

What is LCM of 32 and 36

The Least Common Multiple or Lowest Common Multiple of 32 and 36 is 288.

How to Find LCM of 32 and 36?

LCM of 32 and 36 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 32 and 36 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 32 and 36 can be expressed as;

32 = 2 x 2 x 2 x 2 x 2

36 = 2 x 2 x 3 x 3 

LCM (32, 36) = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

LCM of 32 and 36 Using Division Method

In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. 

LCM (32, 36) = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

LCM of 32 and 36 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 32 and 36

LCM (32, 36) = 288

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 

1. What is the smallest number that is divisible by both 32 and 36?

Answer: 288 is the smallest number that is divisible by both 32 and 36. 

2. What is the LCM for 1, 32 and 36? 

Answer: LCM for 1, 32 and 36 is 288.