LCM of 8 and 20

LCM of 8 and 20 is 40. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. Among all common multiples of 8 and 20, the LCM of 8 and 20 is the smallest. The first few multiples of eight and twenty are (8, 16, 24, 32, etc.) and (20, 40, 60, 80, 100, etc.). To find the LCM of Two Numbers that is 8 and 20, there are three typical methods: prime factorization, division method, and listing multiples.

Also read: Least common multiple

What is LCM of 8 and 20?

The answer to this question is 40. The LCM of 8 and 20 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 8 and 20, is the smallest positive integer 40 which is divisible by both 8 and 20 with no remainder.

How to Find LCM of 8 and 20?

LCM of 8 and 20 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 8 and 20 Using Prime Factorisation Method

The prime factorisation of 8 and 20, respectively, is given by:

(2 × 2 × 2) = 2³ and (2 × 2 × 5) = 2² × 5¹

LCM (8, 20) = 40

LCM of 8 and 20 Using Division Method

We’ll divide the numbers (8, 20) by their prime factors to get the LCM of 8 and 20 using the division method (preferably common). The LCM of 8 and 20 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (8, 20) = 40

LCM of 8 and 20 Using Listing the Multiples

To calculate the LCM of 8 and 20 by listing out the common multiples, list the multiples as shown below.

The smallest common multiple of 8 and 20 is 40.

LCM (8, 20) = 40

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• HCF and LCM
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• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 8 and 20 Solved Example

The GCD and LCM of two numbers are 4 and 40 respectively. If one number is 20, find the other number.

Solution:

Let the other number be y.

∵ GCD × LCM = 20 × y

⇒ y = (GCD × LCM)/20

⇒ y = (4 × 40)/20

⇒ y = 8

Therefore, the other number is 8.