Least Common Multiple of 22 and 26

Free LCM Calculator determines the least common multiple (LCM) between 22 and 26 the smallest integer that is 286 that is divisible by both numbers.

Least Common Multiple (LCM) of 22 and 26 is 286.

LCM(22,26) = 286

LCM of 22 and 26

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

LCM of:
and

Least Common Multiple (LCM) of 22 and 26 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22 and 26. First we will calculate the prime factors of 22 and 26.

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 26


2 26
13 13
1

Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

Now multiplying the highest exponent prime factors to calculate the LCM of 22 and 26.

LCM(22,26) = 21×111×131
LCM(22,26) = 286

Factors of 22

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

1, 2, 11, 22

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Least Common Multiple of 22 and 26 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 26, than apply into the LCM equation.

GCF(22,26) = 2
LCM(22,26) = ( 22 × 26) / 2
LCM(22,26) = 572 / 2
LCM(22,26) = 286

Properties of LCM 22 and 26

(i) The LCM of 26 and 22 is associative

LCM of 22 and 26 = LCM of 26 and 22

Frequently Asked Questions on LCM of 22 and 26

1. What is the LCM of 22 and 26?

Answer: LCM of 22 and 26 is 286.

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 26?

Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.

4. How to Find the LCM of 22 and 26?

Answer:

Least Common Multiple of 22 and 26 = 286

Step 1: Find the prime factorization of 22

22 = 2 x 11

Step 2: Find the prime factorization of 26

26 = 2 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 286 = 2 x 11 x 13

Step 4: Therefore, the least common multiple of 22 and 26 is 286.