Least Common Multiple of 130 and 134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 130 and 134 the smallest integer that is 8710 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 134 is 8710.

LCM(130,134) = 8710

LCM of 130 and 134

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

LCM of:
and

Least Common Multiple of 130 and 134

LCM of 130 and 134 is 8710

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 134. First we will calculate the prime factors of 130 and 134.

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 130 and 134.

LCM(130,134) = 21×51×131×671
LCM(130,134) = 8710

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Factors of 134

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

1, 2, 67, 134

Least Common Multiple of 130 and 134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 130 and 134, than apply into the LCM equation.

GCF(130,134) = 2
LCM(130,134) = ( 130 × 134) / 2
LCM(130,134) = 17420 / 2
LCM(130,134) = 8710

Properties of LCM 130 and 134

(i) The LCM of 134 and 130 is associative

LCM of 130 and 134 = LCM of 134 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 134

Frequently Asked Questions on LCM of 130 and 134

1. What is the LCM of 130 and 134?

Answer: LCM of 130 and 134 is 8710.

2. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

3. 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.

4. How to Find the LCM of 130 and 134?

Answer:

Least Common Multiple of 130 and 134 = 8710

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 134

134 = 2 x 67

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

LCM = 8710 = 2 x 5 x 13 x 67

Step 4: Therefore, the least common multiple of 130 and 134 is 8710.