LCM of 16 and 20

LCM of 16 and 20 is 80. Subject matter experts explained the LCM in a simple language to help students in a better understanding of a concept. To learn how to find the LCM of two numbers with a simple method, students are advised to follow the LCM of Two Numbers article. In this article, students will get to learn the different methods of finding LCM. Let us have a look at how to find the least common multiple of 16 and 20 in an interactive manner here.

What is LCM of 16 and 20?

The answer to this question is 80.

lcm of 16 and 20

How to Find LCM of 16 and 20?

The methods used to find the LCM of 16 and 20 are as follows:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 16 and 20 Using Prime Factorisation Method

By prime factorisation method, we can write 16 and 20 as the product of prime numbers, such that;

16 = 2 × 2 × 2 × 2

20 = 2 × 2 × 5

LCM (16, 20) = 2 × 2 × 2 × 2 × 5 = 80

LCM of 16 and 20 Using Division Method

Here, we divide the numbers 16 and 20 by their prime factors to find their LCM. The product of these divisors represents the least common multiple of 16 and 20.

2 16 20
2 8 10
2 4 5
2 2 5
5 1 5
x 1 1

No more further division can be done.

Hence, LCM (16, 20) = 2 × 2 × 2 × 2 × 5 = 80

LCM of 16 and 20 Using Listing the Multiples

To calculate the least common multiple of 16 and 20 using listing multiples, we list out the multiples of 16 and 20 as shown below.

Multiples of 16 Multiples of 20
16 20
32 40
48 60
64 80
80 100
96 120

LCM (16, 20) = 80

Related Articles

Prime Factorisation and Division Method for LCM and HCF

Least Common Multiple (LCM)

LCM Calculator

HCF and LCM

LCM Formula

LCM with Examples

Video Lesson on Applications of LCM

Solved Examples 

Q. 1:The product of two numbers is 320. If their GCD is 4, find their LCM. 

Solution: Given

GCD = 4

Product of numbers = 320

We know that

LCM × GCD = Product of numbers

LCM  × 4 = 320

LCM = 320/4

LCM = 80

Hence the LCM is 80.

Q. 2: Find the LCM of 16 and 20 using listing multiples.

Solution: First, list out the multiples of 16 and 20.

Multiples of 16 = 16, 32, 48, 64, 80, 96,…. 

Multiples of 20 = 20, 40, 60, 80, 100, 120, …..

Here the LCM is 80.

Thus the least common multiple of 16 and 20 is 80.

Frequently Asked Questions on LCM of 16 and 20

Q1

What is the LCM of 16 and 20?

The LCM of 16 and 20 is 80.
Q2

What are the methods used to find the LCM of 16 and 20?

The methods used to find the LCM of 16 and 20 are as follows:

Prime Factorisation

Division method

Listing the Multiples

Q3

What is the HCF of 16 and 20?

The HCF of 16 and 20 is 4.

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