Least Common Multiple of 135 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 135 and 137 the smallest integer that is 18495 that is divisible by both numbers.

Least Common Multiple (LCM) of 135 and 137 is 18495.

LCM(135,137) = 18495

LCM of 135 and 137

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

LCM of:
and

Least Common Multiple of 135 and 137

LCM of 135 and 137 is 18495

Least common multiple can be found by multiplying the highest exponent prime factors of 135 and 137. First we will calculate the prime factors of 135 and 137.

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 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 135 and 137.

LCM(135,137) = 33×51×1371
LCM(135,137) = 18495

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 137

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

1, 137

Least Common Multiple of 135 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 135 and 137, than apply into the LCM equation.

GCF(135,137) = 1
LCM(135,137) = ( 135 × 137) / 1
LCM(135,137) = 18495 / 1
LCM(135,137) = 18495

Properties of LCM 135 and 137

(i) The LCM of 137 and 135 is associative

LCM of 135 and 137 = LCM of 137 and 135

Related Least Common Multiples of 135

Related Least Common Multiples of 137

Frequently Asked Questions on LCM of 135 and 137

1. What is the LCM of 135 and 137?

Answer: LCM of 135 and 137 is 18495.

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 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 135 and 137?

Answer:

Least Common Multiple of 135 and 137 = 18495

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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 = 18495 = 3 x 3 x 3 x 5 x 137

Step 4: Therefore, the least common multiple of 135 and 137 is 18495.