Least Common Multiple of 6 and 22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6 and 22 the smallest integer that is 66 that is divisible by both numbers.

Least Common Multiple (LCM) of 6 and 22 is 66.

LCM(6,22) = 66

LCM of 6 and 22

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

LCM of:
and

Least Common Multiple of 6 and 22

LCM of 6 and 22 is 66

Least common multiple can be found by multiplying the highest exponent prime factors of 6 and 22. First we will calculate the prime factors of 6 and 22.

Prime Factorization of 6


2 6
3 3
1

Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6 and 22.

LCM(6,22) = 21×31×111
LCM(6,22) = 66

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Factors of 22

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

1, 2, 11, 22

Least Common Multiple of 6 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 6 and 22, than apply into the LCM equation.

GCF(6,22) = 2
LCM(6,22) = ( 6 × 22) / 2
LCM(6,22) = 132 / 2
LCM(6,22) = 66

Properties of LCM 6 and 22

(i) The LCM of 22 and 6 is associative

LCM of 6 and 22 = LCM of 22 and 6

Related Least Common Multiples of 6

Related Least Common Multiples of 22

Frequently Asked Questions on LCM of 6 and 22

1. What is the LCM of 6 and 22?

Answer: LCM of 6 and 22 is 66.

2. What are the Factors of 6?

Answer: Factors of 6 are 1, 2, 3, 6. There are 4 integers that are factors of 6. The greatest factor of 6 is 6.

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. How to Find the LCM of 6 and 22?

Answer:

Least Common Multiple of 6 and 22 = 66

Step 1: Find the prime factorization of 6

6 = 2 x 3

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 = 66 = 2 x 3 x 11

Step 4: Therefore, the least common multiple of 6 and 22 is 66.