Least Common Multiple of 135 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 135 and 136 the smallest integer that is 18360 that is divisible by both numbers.

Least Common Multiple (LCM) of 135 and 136 is 18360.

LCM(135,136) = 18360

LCM of 135 and 136

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

LCM of:
and

Least Common Multiple of 135 and 136

LCM of 135 and 136 is 18360

Least common multiple can be found by multiplying the highest exponent prime factors of 135 and 136. First we will calculate the prime factors of 135 and 136.

Prime Factorization of 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

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 135 and 136.

LCM(135,136) = 23×33×51×171
LCM(135,136) = 18360

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 135 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 135 and 136, than apply into the LCM equation.

GCF(135,136) = 1
LCM(135,136) = ( 135 × 136) / 1
LCM(135,136) = 18360 / 1
LCM(135,136) = 18360

Properties of LCM 135 and 136

(i) The LCM of 136 and 135 is associative

LCM of 135 and 136 = LCM of 136 and 135

Related Least Common Multiples of 135

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 135 and 136

1. What is the LCM of 135 and 136?

Answer: LCM of 135 and 136 is 18360.

2. What are the Factors of 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

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 135 and 136?

Answer:

Least Common Multiple of 135 and 136 = 18360

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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 = 18360 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 135 and 136 is 18360.