LCM of 28 and 32

LCM of 28 and 32 is 224. LCM stands for the Least Common multiple or Lowest common multiple. LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 28 and 32, 224 is the first(least or smallest) number that is common in the set of common multiples of 28 and 32. The LCM which is also known as LCD, Least Common Divisor for 28 and 32 is 224. You can read more on LCM for further details.

What is LCM of 28 and 32

The Least Common Multiple or Lowest Common Multiple of 28 and 32 is 224.

How to Find LCM of 28 and 32?

LCM of 28 and 32 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 28 and 32 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 28 and 32 can be expressed as;

28 = 2 x 2 x 7

32 = 2 x 2 x 2 x 2 x 2 

LCM (28, 32) = 2 x 2 x 2 x 2 x 2 x 7 = 224

LCM of 28 and 32 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. 

Only Prime numbers are left, hence no further division is possible. 

Therefore LCM (28, 32) = 2 x 2 x 2 x 2 x 2 x 7 = 224

LCM of 28 and 32 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 28 and 32

LCM (28, 32) = 224

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 28 and 32?

Answer: 224 is the smallest number that is divisible by both 28 and 32. 

What is the LCM for 2, 28 and 32? 

Answer: LCM for 2, 28 and 32 is 224.