Least Common Multiple of 131 and 136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 131 and 136 the smallest integer that is 17816 that is divisible by both numbers.

Least Common Multiple (LCM) of 131 and 136 is 17816.

LCM(131,136) = 17816

LCM of 131 and 136

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

LCM of:
and

Least Common Multiple of 131 and 136

LCM of 131 and 136 is 17816

Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 136. First we will calculate the prime factors of 131 and 136.

Prime Factorization of 131


131 131
1

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 1311

Prime Factorization of 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 136.

LCM(131,136) = 23×171×1311
LCM(131,136) = 17816

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1, 131

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Least Common Multiple of 131 and 136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 136, than apply into the LCM equation.

GCF(131,136) = 1
LCM(131,136) = ( 131 × 136) / 1
LCM(131,136) = 17816 / 1
LCM(131,136) = 17816

Properties of LCM 131 and 136

(i) The LCM of 136 and 131 is associative

LCM of 131 and 136 = LCM of 136 and 131

Related Least Common Multiples of 131

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 131 and 136

1. What is the LCM of 131 and 136?

Answer: LCM of 131 and 136 is 17816.

2. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

3. What are the Factors of 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. How to Find the LCM of 131 and 136?

Answer:

Least Common Multiple of 131 and 136 = 17816

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

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

LCM = 17816 = 2 x 2 x 2 x 17 x 131

Step 4: Therefore, the least common multiple of 131 and 136 is 17816.