Least Common Multiple of 134 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 134 and 137 the smallest integer that is 18358 that is divisible by both numbers.

Least Common Multiple (LCM) of 134 and 137 is 18358.

LCM(134,137) = 18358

LCM of 134 and 137

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

LCM of:
and

Least Common Multiple of 134 and 137

LCM of 134 and 137 is 18358

Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 137. First we will calculate the prime factors of 134 and 137.

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 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 134 and 137.

LCM(134,137) = 21×671×1371
LCM(134,137) = 18358

Factors of 134

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

1, 2, 67, 134

Factors of 137

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

1, 137

Least Common Multiple of 134 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 134 and 137, than apply into the LCM equation.

GCF(134,137) = 1
LCM(134,137) = ( 134 × 137) / 1
LCM(134,137) = 18358 / 1
LCM(134,137) = 18358

Properties of LCM 134 and 137

(i) The LCM of 137 and 134 is associative

LCM of 134 and 137 = LCM of 137 and 134

Related Least Common Multiples of 134

Related Least Common Multiples of 137

Frequently Asked Questions on LCM of 134 and 137

1. What is the LCM of 134 and 137?

Answer: LCM of 134 and 137 is 18358.

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 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 134 and 137?

Answer:

Least Common Multiple of 134 and 137 = 18358

Step 1: Find the prime factorization of 134

134 = 2 x 67

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 = 18358 = 2 x 67 x 137

Step 4: Therefore, the least common multiple of 134 and 137 is 18358.