LCM of 4 and 5 is 20. In Mathematics, the LCM of any two numbers is the value that is evenly divisible by the two values. Among all common multiples of 4 and 5, the LCM of 4 and 5 is the smallest number. (4, 8, 12, 16,…) and (5, 10, 15, 20,…) are the first few multiples of 4 and 5. The division technique, prime factorization, and listing multiples are the three most frequent methods for finding the LCM of 4 and 5.
What is LCM of 4 and 5?
The answer to this question is 20. The LCM of 4 and 5 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 5, is the smallest positive integer 20 which is divisible by both 4 and 5 with no remainder.
Also read: Least common multiple
How to Find LCM of 4 and 5?
LCM of 4 and 5 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 5 Using Prime Factorisation Method
The prime factorisation of 4 and 4, respectively, is given by:
5 = 5
4 = 2 x 2 = 2²
LCM (4, 5) = 20
LCM of 4 and 5 Using Division Method
We’ll divide the numbers (4, 5) by their prime factors to get the LCM of 4 and 5 using the division method (preferably common). The LCM of 4 and 5 is calculated by multiplying these divisors.
2 | 4 | 5 |
2 | 2 | 5 |
5 | 1 | 5 |
1 | 1 |
No further division can be done.Â
Hence, LCM (4, 5) = 20
LCM of 4 and 5 Using Listing the Multiples
To calculate the LCM of 4 and 5 by listing out the common multiples, list the multiples as shown below
Multiples of 4 | Multiples of 5 |
4 | 5 |
8 | 10 |
12 | 15 |
16 | 20 |
20 | 25 |
The smallest common multiple of 4 and 5 is 20.
LCM (4, 5) = 20
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
![](https://cdn1.byjus.com/wp-content/uploads/2022/04/Application-of-LCM.jpg)
LCM of 4 and 5 Solved ExampleÂ
The product of two numbers is 20. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
Product of numbers = 20
LCM × GCD = product of numbers
LCM = Product/GCD = 20/1
Therefore, the LCM is 20.
The probable combination for the given case is LCM(4, 5) = 20.
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