LCM of 4 and 5

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.

No further division can be done. 

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

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

LCM of 4 and 5 Solved Example 

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.