LCM of 20 and 60 is 60. The least common multiple of two numbers is the smallest number which is a multiple of both the numbers. LCM of Two Numbers is designed by expert faculty with the intention to provide the best source for effective learning of the LCM concept. This article explains how to verify the least common multiple of given numbers using prime factorisation, division method and a list of multiples with the help of examples in a comprehensive manner. Following this article while solving the problems undoubtedly clears students’ doubts immediately. Let us glance at how to find the least common multiple of 20 and 60 in this article.
What is LCM of 20 and 60?
The answer to this question is 60.
How to Find LCM of 20 and 60?
The LCM of 20 and 60 can be determined by using the methods mentioned below:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 20 and 60 Using Prime Factorisation Method
The prime factorisation method is one of the most common ways of determining LCM. To calculate the LCM of 20 and 60, we use the steps as follows:
20 = 2 × 2 × 5
60 = 2 × 2 × 3 × 5
LCM (20, 60) = 2 × 2 × 3 × 5 = 60
LCM of 20 and 60 Using Division Method
In this method, we divide the numbers 20 and 60 by a common prime number until the remainder is a prime number or one. The product of these divisors represents the least common multiple of 20 and 60.
| 2 | 20 | 60 |
| 2 | 10 | 30 |
| 3 | 5 | 15 |
| 5 | 5 | 5 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (20, 60) = 2 × 2 × 3 × 5 = 60
LCM of 20 and 60 Using Listing the Multiples
Here, the multiples of each number are listed until the first common multiple is found. The following table shows the multiples of 20 and 60.
| Multiples of 20 | Multiples of 60 |
| 20 | 60 |
| 40 | 120 |
| 60 | 180 |
| 80 | 240 |
| 100 | 300 |
| 120 | 360 |
| 140 | 420 |
LCM (20, 60) = 60
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 20 and 60?
Solution: 60 is the smallest number that is divisible by both 20 and 60.
Q. 2: What is the lowest common factor of 20 and 60?
Solution: The lowest common factor of 20 and 60 is 60.
Frequently Asked Questions on LCM of 20 and 60
What is the LCM of 20 and 60?
Is the LCM of 20 and 60 the same as the HCF of 20 and 60?
30 is the HCF of 20 and 60. True or False.
Find the LCM of 20 and 60 by the prime factorisation method.
In this method, we express the numbers as the product of prime factors
20 = 2 × 2 × 5
60 = 2 × 2 × 3 × 5
LCM (20, 60) = 2 × 2 × 3 × 5 = 60
Find the GCF if the LCM of 20 and 60 is 60.
GCF × LCM = 20 × 60
Given
LCM = 60
GCF × 60 = 20 × 60
GCF = 20
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