Least Common Multiple of 136 and 137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 136 and 137 the smallest integer that is 18632 that is divisible by both numbers.

Least Common Multiple (LCM) of 136 and 137 is 18632.

LCM(136,137) = 18632

LCM of 136 and 137

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

LCM of:
and

Least Common Multiple of 136 and 137

LCM of 136 and 137 is 18632

Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 137. First we will calculate the prime factors of 136 and 137.

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

Prime Factorization of 137


137 137
1

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 137.

LCM(136,137) = 23×171×1371
LCM(136,137) = 18632

Factors of 136

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

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

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1, 137

Least Common Multiple of 136 and 137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 137, than apply into the LCM equation.

GCF(136,137) = 1
LCM(136,137) = ( 136 × 137) / 1
LCM(136,137) = 18632 / 1
LCM(136,137) = 18632

Properties of LCM 136 and 137

(i) The LCM of 137 and 136 is associative

LCM of 136 and 137 = LCM of 137 and 136

Related Least Common Multiples of 136

Related Least Common Multiples of 137

Frequently Asked Questions on LCM of 136 and 137

1. What is the LCM of 136 and 137?

Answer: LCM of 136 and 137 is 18632.

2. 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.

3. What are the Factors of 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

4. How to Find the LCM of 136 and 137?

Answer:

Least Common Multiple of 136 and 137 = 18632

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 137

137 = 137

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

LCM = 18632 = 2 x 2 x 2 x 17 x 137

Step 4: Therefore, the least common multiple of 136 and 137 is 18632.