Least Common Multiple of 134 and 138

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 138 the smallest integer that is 9246 that is divisible by both numbers.

Least Common Multiple (LCM) of 134 and 138 is 9246.

LCM(134,138) = 9246

LCM of 134 and 138

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

LCM of:
and

Least Common Multiple of 134 and 138

LCM of 134 and 138 is 9246

Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 138. First we will calculate the prime factors of 134 and 138.

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 138


2 138
3 69
23 23
1

Prime factors of 138 are 2, 3,23. Prime factorization of 138 in exponential form is:

138 = 21×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 134 and 138.

LCM(134,138) = 21×31×231×671
LCM(134,138) = 9246

Factors of 134

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

1, 2, 67, 134

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Least Common Multiple of 134 and 138 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 138, than apply into the LCM equation.

GCF(134,138) = 2
LCM(134,138) = ( 134 × 138) / 2
LCM(134,138) = 18492 / 2
LCM(134,138) = 9246

Properties of LCM 134 and 138

(i) The LCM of 138 and 134 is associative

LCM of 134 and 138 = LCM of 138 and 134

Related Least Common Multiples of 134

Related Least Common Multiples of 138

Frequently Asked Questions on LCM of 134 and 138

1. What is the LCM of 134 and 138?

Answer: LCM of 134 and 138 is 9246.

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 138?

Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.

4. How to Find the LCM of 134 and 138?

Answer:

Least Common Multiple of 134 and 138 = 9246

Step 1: Find the prime factorization of 134

134 = 2 x 67

Step 2: Find the prime factorization of 138

138 = 2 x 3 x 23

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

LCM = 9246 = 2 x 3 x 23 x 67

Step 4: Therefore, the least common multiple of 134 and 138 is 9246.