Least Common Multiple of 134 and 135

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 135 the smallest integer that is 18090 that is divisible by both numbers.

Least Common Multiple (LCM) of 134 and 135 is 18090.

LCM(134,135) = 18090

LCM of 134 and 135

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

LCM of:
and

Least Common Multiple of 134 and 135

LCM of 134 and 135 is 18090

Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 135. First we will calculate the prime factors of 134 and 135.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 134 and 135.

LCM(134,135) = 21×33×51×671
LCM(134,135) = 18090

Factors of 134

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

1, 2, 67, 134

Factors of 135

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

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

Least Common Multiple of 134 and 135 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 135, than apply into the LCM equation.

GCF(134,135) = 1
LCM(134,135) = ( 134 × 135) / 1
LCM(134,135) = 18090 / 1
LCM(134,135) = 18090

Properties of LCM 134 and 135

(i) The LCM of 135 and 134 is associative

LCM of 134 and 135 = LCM of 135 and 134

Related Least Common Multiples of 134

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 134 and 135

1. What is the LCM of 134 and 135?

Answer: LCM of 134 and 135 is 18090.

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 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.

4. How to Find the LCM of 134 and 135?

Answer:

Least Common Multiple of 134 and 135 = 18090

Step 1: Find the prime factorization of 134

134 = 2 x 67

Step 2: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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

LCM = 18090 = 2 x 3 x 3 x 3 x 5 x 67

Step 4: Therefore, the least common multiple of 134 and 135 is 18090.