Least Common Multiple of 2 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 2 and 22 the smallest integer that is 22 that is divisible by both numbers.

Least Common Multiple (LCM) of 2 and 22 is 22.

LCM(2,22) = 22

LCM of 2 and 22

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

LCM of:
and

Least Common Multiple of 2 and 22

LCM of 2 and 22 is 22

Least common multiple can be found by multiplying the highest exponent prime factors of 2 and 22. First we will calculate the prime factors of 2 and 22.

Prime Factorization of 2


2 2
1

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

2 = 21

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 2 and 22.

LCM(2,22) = 21×111
LCM(2,22) = 22

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1, 2

Factors of 22

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

1, 2, 11, 22

Least Common Multiple of 2 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 2 and 22, than apply into the LCM equation.

GCF(2,22) = 2
LCM(2,22) = ( 2 × 22) / 2
LCM(2,22) = 44 / 2
LCM(2,22) = 22

Properties of LCM 2 and 22

(i) The LCM of 22 and 2 is associative

LCM of 2 and 22 = LCM of 22 and 2

Related Least Common Multiples of 2

Related Least Common Multiples of 22

Frequently Asked Questions on LCM of 2 and 22

1. What is the LCM of 2 and 22?

Answer: LCM of 2 and 22 is 22.

2. What are the Factors of 2?

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

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 2 and 22?

Answer:

Least Common Multiple of 2 and 22 = 22

Step 1: Find the prime factorization of 2

2 = 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 = 22 = 2 x 11

Step 4: Therefore, the least common multiple of 2 and 22 is 22.