Least Common Multiple of 14 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 14 and 22 the smallest integer that is 154 that is divisible by both numbers.

Least Common Multiple (LCM) of 14 and 22 is 154.

LCM(14,22) = 154

LCM of 14 and 22

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

LCM of:
and

Least Common Multiple of 14 and 22

LCM of 14 and 22 is 154

Least common multiple can be found by multiplying the highest exponent prime factors of 14 and 22. First we will calculate the prime factors of 14 and 22.

Prime Factorization of 14


2 14
7 7
1

Prime factors of 14 are 2,7. Prime factorization of 14 in exponential form is:

14 = 21×71

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 14 and 22.

LCM(14,22) = 21×71×111
LCM(14,22) = 154

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Factors of 22

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

1, 2, 11, 22

Least Common Multiple of 14 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 14 and 22, than apply into the LCM equation.

GCF(14,22) = 2
LCM(14,22) = ( 14 × 22) / 2
LCM(14,22) = 308 / 2
LCM(14,22) = 154

Properties of LCM 14 and 22

(i) The LCM of 22 and 14 is associative

LCM of 14 and 22 = LCM of 22 and 14

Related Least Common Multiples of 14

Related Least Common Multiples of 22

Frequently Asked Questions on LCM of 14 and 22

1. What is the LCM of 14 and 22?

Answer: LCM of 14 and 22 is 154.

2. What are the Factors of 14?

Answer: Factors of 14 are 1, 2, 7, 14. There are 4 integers that are factors of 14. The greatest factor of 14 is 14.

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 14 and 22?

Answer:

Least Common Multiple of 14 and 22 = 154

Step 1: Find the prime factorization of 14

14 = 2 x 7

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 = 154 = 2 x 7 x 11

Step 4: Therefore, the least common multiple of 14 and 22 is 154.