LCM of 8 and 22

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.

Lcm Of 8 And 22

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

Related Articles

Video Lesson on Applications of LCM

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

Q1

What is the LCM of 8 and 22?

The LCM of 8 and 22 is 88.
Q2

List the methods which can be used to get the LCM value of 8 and 22.

The methods which can be used to get the LCM of 8 and 22 are the Prime Factorization Method, Division Method and Listing multiples.
Q3

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.

Q4

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

Q5

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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