LCM of 16 and 22

LCM of 16 and 22 is 176. From the multiples of 16 and 22, the value divisible exactly indicates the LCM. Least common multiple of 16 and 22 is the common multiple of two numbers we get using the multiplication operation. (16, 32, 48, 64, 80, 96, 112, ….) and (22, 44, 66, 88, 110, ….) are the multiples of 16 and 22. The LCM of two numbers can be determined using various methods like the listing of multiples, prime factorization and division.

Also read: Least common multiple

What is LCM of 16 and 22?

The answer to this question is 176. The LCM of 16 and 22 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 16 and 22, is the smallest positive integer 176 which is divisible by both 16 and 22 with no remainder.

lcm of 16 and 22

How to Find LCM of 16 and 22?

LCM of 16 and 22 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 16 and 22 Using Prime Factorisation Method

The prime factorisation of 16 and 22, respectively, is given by:

16 = 2 x 2 x 2 x 2 = 2⁴

22 = 2 x 11 = 2¹ x 11¹

LCM (16, 22) = 176

LCM of 16 and 22 Using Division Method

We’ll divide the numbers (16, 22) by their prime factors to get the LCM of 16 and 22 using the division method (preferably common). The LCM of 16 and 22 is calculated by multiplying these divisors.

2

16

22

2

8

11

2

4

11

2

2

11

11

1

11

x

1

1

No further division can be done. 

Hence, LCM (16, 22) = 176

LCM of 16 and 22 Using Listing the Multiples

To calculate the LCM of 16 and 22 by listing out the common multiples, list the multiples as shown below:

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, . . . .

Multiples of 22 = 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, . . . .

LCM (16, 22) = 176

Related Articles

Video Lesson on Applications of LCM

LCM of 16 and 22 Solved Examples 

Question: If the GCD is 2 and the product of two numbers is 352, find the LCM.

Solution:

Given,

GCD = 2

Product = 352

LCM x GCD = Product 

LCM = Product/GCD

LCM = 352/2

LCM = 176

Hence, the LCM of 16 and 22 is 176.

Frequently Asked Questions on LCM of 16 and 22

Q1

What are the methods used to find the LCM of 16 and 22?

The methods used to find the LCM of 16 and 22 are:

Prime Factorisation

Division method

Listing the multiples

Q2

Using the prime factorisation method, determine the LCM of 16 and 22.

We should first know the factors to determine the LCM

16 = 2 x 2 x 2 x 2

22 = 2 x 11

LCM is the product of prime factors raised to the highest exponent among 16 and 22.

LCM of 16 and 22 = 176

Q3

Find the GCF if the LCM of 16 and 22 is 176.

LCM x GCF = 16 x 22

As the LCM = 176

176 x GCF = 352

GCF = 352/176 = 2

Q4

Show the relation between LCM and GCF of 16 and 22.

The relation between LCM and GCF of 16 and 22 is

GCF x LCM = 16 x 22

GCF x LCM = 352

Q5

What is the LCM of 16 and 22?

The LCM of 16 and 22 is 176.

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