Least Common Multiple of 134 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 134 and 136 the smallest integer that is 9112 that is divisible by both numbers.

Least Common Multiple (LCM) of 134 and 136 is 9112.

LCM(134,136) = 9112

LCM of 134 and 136

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

LCM of:
and

Least Common Multiple of 134 and 136

LCM of 134 and 136 is 9112

Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 136. First we will calculate the prime factors of 134 and 136.

Prime Factorization of 134


2 134
67 67
1

Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:

134 = 21×671

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 134 and 136.

LCM(134,136) = 23×171×671
LCM(134,136) = 9112

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 134 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 134 and 136, than apply into the LCM equation.

GCF(134,136) = 2
LCM(134,136) = ( 134 × 136) / 2
LCM(134,136) = 18224 / 2
LCM(134,136) = 9112

Properties of LCM 134 and 136

(i) The LCM of 136 and 134 is associative

LCM of 134 and 136 = LCM of 136 and 134

Related Least Common Multiples of 134

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 134 and 136

1. What is the LCM of 134 and 136?

Answer: LCM of 134 and 136 is 9112.

2. What are the Factors of 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

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 134 and 136?

Answer:

Least Common Multiple of 134 and 136 = 9112

Step 1: Find the prime factorization of 134

134 = 2 x 67

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 = 9112 = 2 x 2 x 2 x 17 x 67

Step 4: Therefore, the least common multiple of 134 and 136 is 9112.