LCM of 22 and 27
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 22 and 27 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 594 as output. Here you can check the answer for Find the LCM of 22 and 27.
What is LCM of 22 and 27
Given Numbers are 22, 27
We can find the LCM of 22, 27 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 22 and 27
Multiples of 22 =22,44,66,88,110,132,154,176,198,220,242,264,286,308,330,352,374,
Multiples of 27 =27,54,81,108,135,162,189,216,243,270,297,324,351,378,405,432,459,
Now, get the least common multiple of 22, 27 which is 594
So, the LCM of 22, 27 is 594.
Least Common Multiple (LCM) of 22 and 27 with the help of Prime Factorisation
One method for determining the LCM of 22 and 27 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 22's prime factorization:
| 2 | 22 |
| 11 | 11 |
| 1 |
Prime factors of 22 are 2,11.
22 = 21×111
And this is 27's prime factorization:
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 27 are 3.
27 = 33
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: 2,11,3
.21×33×111 = 594
This shows that the LCM of 22 and 27 is 594.
How to Calculate the LCM of 22 and 27 Using Common Multiples
The first step in determining the Least Common Multiple of 22 and 27 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 22 and 27:
Lets look at the first ten multiples of these numbers, 22 and 27:
22,44,66,88,110,132,154,176,198,374 are the first ten multiples of 22.
27,54,81,108,135,162,189,216,243,459 are the first ten multiples of 27.
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 22 and 27, for example, are 264, 374, and 432. 594 is the least common multiple since it is the smallest.
22 and 27 have an LCM of 594.
Least Common Multiple of 22 and 27 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22 and 27, than apply into the LCM equation.
GCF(22,27) = 1
LCM(22,27) = ( 22 × 27) / 1
LCM(22,27) = 594 / 1
LCM(22,27) = 594
Related Least Common Multiples of 22
Related Least Common Multiples of 27
Frequently Asked Questions on LCM of 22 and 27
1. What is the LCM of 22 and 27?
The LCM of 22 and 27 is 594.
2. How to find the lowest common multiple of 22 and 27?
To find the lowest common multiple of 22 and 27, we have to get the multip;es of both numbers and identify the least common multiple in them which is 594.
3. 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.
4. What are the Factors of 27?
Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.
5. How to Find the LCM of 22 and 27?Answer:
Least Common Multiple of 22 and 27 = 594
Step 1: Find the prime factorization of 22
22 = 2 x 11
Step 2: Find the prime factorization of 27
27 = 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 594 = 2 x 3 x 3 x 3 x 11
Step 4: Therefore, the least common multiple of 22 and 27 is 594.