Least Common Multiple of 20 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 20 and 26 the smallest integer that is 260 that is divisible by both numbers.

Least Common Multiple (LCM) of 20 and 26 is 260.

LCM(20,26) = 260

LCM of 20 and 26

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

LCM of:
and

Least Common Multiple of 20 and 26

LCM of 20 and 26 is 260

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 26. First we will calculate the prime factors of 20 and 26.

Prime Factorization of 20


2 20
2 10
5 5
1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

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 20 and 26.

LCM(20,26) = 22×51×131
LCM(20,26) = 260

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Factors of 26

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

1, 2, 13, 26

Least Common Multiple of 20 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 20 and 26, than apply into the LCM equation.

GCF(20,26) = 2
LCM(20,26) = ( 20 × 26) / 2
LCM(20,26) = 520 / 2
LCM(20,26) = 260

Properties of LCM 20 and 26

(i) The LCM of 26 and 20 is associative

LCM of 20 and 26 = LCM of 26 and 20

Related Least Common Multiples of 20

Related Least Common Multiples of 26

Frequently Asked Questions on LCM of 20 and 26

1. What is the LCM of 20 and 26?

Answer: LCM of 20 and 26 is 260.

2. What are the Factors of 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

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 20 and 26?

Answer:

Least Common Multiple of 20 and 26 = 260

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

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 = 260 = 2 x 2 x 5 x 13

Step 4: Therefore, the least common multiple of 20 and 26 is 260.