LCM of 4 and 8

LCM of 4 and 8 is 8. The number evenly divisible by the given numbers is the LCM. From the multiples that are common, you will be able to determine the Least common multiple of 4 and 8. The multiples of 4 are (4, 8, 12, 16, 20, 24, ….) and the multiples of 8 are (8, 16, 24, 32, 40, 48, ….) respectively. Prime factorisation, division and listing of the multiples are the methods used to know the LCM.

Also read: Least common multiple

What is LCM of 4 and 8?

The answer to this question is 8. The LCM of 4 and 8 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 8, is the smallest positive integer 8 which is divisible by both 4 and 8 with no remainder.

How to Find LCM of 4 and 8?

LCM of 4 and 8 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 4 and 8 Using Prime Factorisation Method

The prime factorisation of 4 and 8, respectively, is given by:

4 = 2 x 2 = 2²

8 = 2 x 2 x 2 = 2³

LCM (4, 8) = 8

LCM of 4 and 8 Using Division Method

We’ll divide the numbers (4, 8) by their prime factors to get the LCM of 4 and 8 using the division method (preferably common). The LCM of 4 and 8 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (4, 8) = 8

LCM of 4 and 8 Using Listing the Multiples

To calculate the LCM of 4 and 8 by listing out the common multiples, list the multiples as shown below.

LCM (4, 8) = 8

Related Articles

• HCF and LCM
• Prime Factorization
• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 4 and 8 Solved Examples 

If the LCM and GCD of two numbers are 4 and 8 respectively, find the other number if one number is 8.

Solution:

Consider the number as z

We know that

GCD x LCM = 8 x z

z = (GCD x LCM)/8

Substituting the values

z = (4 x 8)/8

z = 4

Hence, the other number is 4.