LCM of 16 and 28

LCM of 16 and 28 is 112. If we make a list of the common factors of 16 and 28, the first common factor which will be the least or smallest number, is called the Least common factor. Also known as Lowest common multiple. In the numbers 16 and 28, 112 is the first(least or smallest) number that is common in the set of common multiples of 16 and 28. The LCM which is also known as LCD, Least Common Divisor for 16 and 28 is 112. You can read more on LCM for further details.

What is LCM of 16 and 28

The Least Common Multiple or Lowest Common Multiple of 16 and 28 is 112.

How to Find LCM of 16 and 28?

LCM of 16 and 28 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 16 and 28 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 16 and 28 can be expressed as;

16 = 2 × 2 × 2 × 2

28 = 2 × 2 × 7

LCM (16, 28) = 2 × 2 × 2 × 2 × 7 = 112

LCM of 16 and 28 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. 

Therefore LCM (16, 28) = 2 × 2 × 2 × 2 × 7 = 112

LCM of 16 and 28 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 16 and 28

LCM (16, 28) = 112

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 16 and 28?

Answer: 112 is the smallest number that is divisible by both 16 and 28. 

What is the LCM for 2, 4, 16 and 28? 

Answer: LCM for 2, 4, 16 and 28 is 112.