Least Common Multiple of 21 and 26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21 and 26 the smallest integer that is 546 that is divisible by both numbers.

Least Common Multiple (LCM) of 21 and 26 is 546.

LCM(21,26) = 546

LCM of 21 and 26

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

LCM of:
and

Least Common Multiple of 21 and 26

LCM of 21 and 26 is 546

Least common multiple can be found by multiplying the highest exponent prime factors of 21 and 26. First we will calculate the prime factors of 21 and 26.

Prime Factorization of 21


3 21
7 7
1

Prime factors of 21 are 3,7. Prime factorization of 21 in exponential form is:

21 = 31×71

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 21 and 26.

LCM(21,26) = 21×31×71×131
LCM(21,26) = 546

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Factors of 26

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

1, 2, 13, 26

Least Common Multiple of 21 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 21 and 26, than apply into the LCM equation.

GCF(21,26) = 1
LCM(21,26) = ( 21 × 26) / 1
LCM(21,26) = 546 / 1
LCM(21,26) = 546

Properties of LCM 21 and 26

(i) The LCM of 26 and 21 is associative

LCM of 21 and 26 = LCM of 26 and 21

Related Least Common Multiples of 21

Related Least Common Multiples of 26

Frequently Asked Questions on LCM of 21 and 26

1. What is the LCM of 21 and 26?

Answer: LCM of 21 and 26 is 546.

2. What are the Factors of 21?

Answer: Factors of 21 are 1, 3, 7, 21. There are 4 integers that are factors of 21. The greatest factor of 21 is 21.

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 21 and 26?

Answer:

Least Common Multiple of 21 and 26 = 546

Step 1: Find the prime factorization of 21

21 = 3 x 7

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 = 546 = 2 x 3 x 7 x 13

Step 4: Therefore, the least common multiple of 21 and 26 is 546.