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.
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
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
What is the LCM of 16 and 20?
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
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