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.
2 | 4 | 8 |
2 | 2 | 4 |
2 | 1 | 2 |
1 | 1 |
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.
Multiples of 4 | Multiples of 8 |
4 | 8 |
8 | 16 |
12 | 24 |
16 | 32 |
LCM (4, 8) = 8
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Video Lesson on Applications of LCM
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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.
Frequently Asked Questions on LCM of 4 and 8
Find the LCM of 4 and 8.
We know that
Multiples of 4 = 4, 8, 12, 16, 20, ….
Multiples of 8 = 8, 16, 24, 32, 40, ….
The smallest multiple exactly divisible by 4 and 8 is 8.
Find GCF if the LCM of 4 and 8 is 8.
LCM x GCF = 8 x 4
Given
LCM of 4 and 8 is 8
8 x GCF = 32
GCF = 32/8 = 4
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