# Least Common Multiple of 26 and 31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26 and 31 the smallest integer that is 806 that is divisible by both numbers.

Least Common Multiple (LCM) of 26 and 31 is 806.

LCM(26,31) = 806

## LCM of 26 and 31

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

LCM of:
and ### LCM of 26 and 31 is 806

Least common multiple can be found by multiplying the highest exponent prime factors of 26 and 31. First we will calculate the prime factors of 26 and 31.

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

Prime Factorization of 31

 31 31 1

Prime factors of 31 are 31. Prime factorization of 31 in exponential form is:

31 = 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26 and 31.

LCM(26,31) = 21×131×311
LCM(26,31) = 806

Factors of 26

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

1, 2, 13, 26

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1, 31

### Least Common Multiple of 26 and 31 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26 and 31, than apply into the LCM equation.

GCF(26,31) = 1
LCM(26,31) = ( 26 × 31) / 1
LCM(26,31) = 806 / 1
LCM(26,31) = 806

### Properties of LCM 26 and 31

(i) The LCM of 31 and 26 is associative

LCM of 26 and 31 = LCM of 31 and 26

### Frequently Asked Questions on LCM of 26 and 31

1. What is the LCM of 26 and 31?

Answer: LCM of 26 and 31 is 806.

2. 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.

3. What are the Factors of 31?

Answer: Factors of 31 are 1, 31. There are 2 integers that are factors of 31. The greatest factor of 31 is 31.

4. How to Find the LCM of 26 and 31?

Least Common Multiple of 26 and 31 = 806

Step 1: Find the prime factorization of 26

26 = 2 x 13

Step 2: Find the prime factorization of 31

31 = 31

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

LCM = 806 = 2 x 13 x 31

Step 4: Therefore, the least common multiple of 26 and 31 is 806.