LCM of 8 and 22 is 88. The number divisible evenly among the common multiples will help you find the least common multiple of 8 and 22. (8, 16, 24, 32, 40, 48, ….) and (22, 44, 66, 88,….) are the multiples of 8 and 22. Finding the LCM of 8 and 22 will be easy using methods like the prime factorisation, division and by listing out the multiples.
Also read: Least common multiple
What is LCM of 8 and 22?
The answer to this question is 88. The LCM of 8 and 22 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 8 and 22, is the smallest positive integer 88 which is divisible by both 8 and 22 with no remainder.
How to Find LCM of 8 and 22?
LCM of 8 and 22 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 8 and 22 Using Prime Factorisation Method
The prime factorisation of 8 and 22, respectively, is given by:
8 = 2 x 2 x 2= 2³
22 = 2 x 11 = 2¹ x 11¹
LCM (8, 22) = 88
LCM of 8 and 22 Using Division Method
We’ll divide the numbers (8, 22) by their prime factors to get the LCM of 8 and 22 using the division method (preferably common). The LCM of 8 and 22 is calculated by multiplying these divisors.
|
2 |
8 |
22 |
|
2 |
4 |
11 |
|
2 |
2 |
11 |
|
11 |
1 |
11 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (8, 22) = 88
LCM of 8 and 22 Using Listing the Multiples
To calculate the LCM of 8 and 22 by listing out the common multiples, list the multiples as shown below
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, ….
Multiples of 22 = 22, 44, 66, 88, 110, …..
LCM (8, 22) = 88
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LCM of 8 and 22 Solved Examples
Question: Which is the LCM of 8 and 22 among the following numbers? 42, 32, 5, 88
Solution:
The LCM value is the smallest common multiple of 8 and 22
The number which satisfies this condition is 88
Hence, the LCM is 88.
Frequently Asked Questions on LCM of 8 and 22
What is the LCM of 8 and 22?
List the methods which can be used to get the LCM value of 8 and 22.
Using the prime factorisation method, find the LCM of 8 and 22.
Using the prime factorisation method
8 = 2 x 2 x 2= 2³
22 = 2 x 11 = 2¹ x 11¹
Therefore, the LCM is 88.
If the GCD = 2 and product of two numbers = 176, find the LCM.
Given
GCD = 2
Product = 176
GCD x LCM = Product
LCM = Product/GCD
LCM = 176/2
LCM = 88
If the LCM of 8 and 22 is 88, find the GCF.
LCM x GCF = 8 x 22
LCM = 88
GCF = (8 x 22)/88
GCF = 2
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