LCM of 32 and 80 is 160. The LCM is the method to find the least common multiple between any two or more numbers. Subject matter experts curated the article LCM with Examples to help students solve problems based on the LCM concept in the most efficient possible ways. Students who aspire to score more marks in exams should follow this article to grasp the LCM concept thoroughly. In this article, we will learn how to determine the least common multiple of 32 and 80 in a comprehensive manner.
What is LCM of 32 and 80?
The Least Common Multiple of 32 and 80 is 160.
How to Find LCM of 32 and 80?
LCM of 32 and 80 can be obtained by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 32 and 80 Using Prime Factorisation Method
In the prime factorisation method, LCM of 32 and 80 can be obtained by multiplying prime factors raised to their respective highest power.
32 = 2 × 2 × 2 × 2 × 2
80 = 2 × 2 × 2 × 2 × 5
LCM (32, 80) = 2 × 2 × 2 × 2 × 2 × 5 = 160
LCM of 32 and 80 Using Division Method
In the division method, to determine the least common multiple of 32 and 80, we divide the numbers 32 and 80 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 32 and 80.
| 2 | 32 | 80 |
| 2 | 16 | 40 |
| 2 | 8 | 20 |
| 2 | 4 | 10 |
| 2 | 2 | 5 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (32, 80) = 2 × 2 × 2 × 2 × 2 × 5 = 160
LCM of 32 and 80 Using Listing the Multiples
In this method, we list down the multiples of 32 and 80 to find the least common multiple among them. The below table shows the multiples of 32 and 80.
| Multiples of 32 | Multiples of 80 |
| 32 | 80 |
| 64 | 160 |
| 96 | 240 |
| 128 | 320 |
| 160 | 400 |
| 192 | 480 |
LCM (32, 80) = 160
Related Articles
Prime Factorisation and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 32 and 80?
Solution: 160 is the smallest number that is divisible by both 32 and 80.
2. The GCD and LCM of the two numbers are 16 and 160. If one number is 32, what is the other number?
Solution: Let the other number be k
We know that,
GCD × LCM = 32 × k
k = (GCD × LCM) / 32
k = (16 × 160) / 32
k = 80
Hence the other number is 80.
Frequently Asked Questions on LCM of 32 and 80
What is the LCM of 32 and 80?
Is the LCM of 32 and 80 the same as the HCF of 32 and 80?
Is 260 the LCM of 32 and 80?
Mention the methods used to find the LCM of 32 and 80.
The methods used to find the LCM of 32 and 80 are
Prime Factorisation
Division Method
Listing the Multiples
What is the GCF if the LCM of 32 and 80 is 160?
GCF × LCM = 32 × 80
Given
LCM = 160
GCF × 160 = 32 × 80
GCF = 16
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