LCM of 16 and 22
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 16 and 22 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 176 as output. Here you can check the answer for Find the LCM of 16 and 22.
What is LCM of 16 and 22
Given Numbers are 16, 22
We can find the LCM of 16, 22 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 16 and 22
Multiples of 16 =16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,
Multiples of 22 =22,44,66,88,110,132,154,176,198,220,242,264,286,308,330,352,374,
Now, get the least common multiple of 16, 22 which is 176
So, the LCM of 16, 22 is 176.
Least Common Multiple (LCM) of 16 and 22 with the help of Prime Factorisation
One method for determining the LCM of 16 and 22 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 16's prime factorization:
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factors of 16 are 2.
16 = 24
And this is 22's prime factorization:
| 2 | 22 |
| 11 | 11 |
| 1 |
Prime factors of 22 are 2,11.
22 = 21×111
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:2,11
.24×111 = 176
This shows that the LCM of 16 and 22 is 176.
How to Calculate the LCM of 16 and 22 Using Common Multiples
The first step in determining the Least Common Multiple of 16 and 22 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 16 and 22:
Lets look at the first ten multiples of these numbers, 16 and 22:
16,32,48,64,80,96,112,128,144,272 are the first ten multiples of 16.
22,44,66,88,110,132,154,176,198,374 are the first ten multiples of 22.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 16 and 22, for example, are 192, 272, and 352. 176 is the least common multiple since it is the smallest.
16 and 22 have an LCM of 176.
Least Common Multiple of 16 and 22 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16 and 22, than apply into the LCM equation.
GCF(16,22) = 2
LCM(16,22) = ( 16 × 22) / 2
LCM(16,22) = 352 / 2
LCM(16,22) = 176
Related Least Common Multiples of 16
Related Least Common Multiples of 22
Frequently Asked Questions on LCM of 16 and 22
1. What is the LCM of 16 and 22?
The LCM of 16 and 22 is 176.
2. How to find the lowest common multiple of 16 and 22?
To find the lowest common multiple of 16 and 22, we have to get the multip;es of both numbers and identify the least common multiple in them which is 176.
3. What are the Factors of 16?
Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.
4. What are the Factors of 22?
Answer: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22.
5. How to Find the LCM of 16 and 22?Answer:
Least Common Multiple of 16 and 22 = 176
Step 1: Find the prime factorization of 16
16 = 2 x 2 x 2 x 2
Step 2: Find the prime factorization of 22
22 = 2 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 176 = 2 x 2 x 2 x 2 x 11
Step 4: Therefore, the least common multiple of 16 and 22 is 176.