Least Common Multiple of 22 and 27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22 and 27 the smallest integer that is 594 that is divisible by both numbers.

Least Common Multiple (LCM) of 22 and 27 is 594.

LCM(22,27) = 594

LCM of 22 and 27

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 22 and 27

LCM of 22 and 27 is 594

Least common multiple can be found by multiplying the highest exponent prime factors of 22 and 27. First we will calculate the prime factors of 22 and 27.

Prime Factorization of 22


2 22
11 11
1

Prime factors of 22 are 2,11. Prime factorization of 22 in exponential form is:

22 = 21×111

Prime Factorization of 27


3 27
3 9
3 3
1

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Now multiplying the highest exponent prime factors to calculate the LCM of 22 and 27.

LCM(22,27) = 21×33×111
LCM(22,27) = 594

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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

Properties of LCM 22 and 27

(i) The LCM of 27 and 22 is associative

LCM of 22 and 27 = LCM of 27 and 22

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?

Answer: LCM of 22 and 27 is 594.

2. 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.

3. 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.

4. 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.