Least Common Multiple of 130 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 130 and 137 the smallest integer that is 17810 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 137 is 17810.

LCM(130,137) = 17810

LCM of 130 and 137

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

LCM of:
and

Least Common Multiple of 130 and 137

LCM of 130 and 137 is 17810

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 137. First we will calculate the prime factors of 130 and 137.

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 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 130 and 137.

LCM(130,137) = 21×51×131×1371
LCM(130,137) = 17810

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 137

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

1, 137

Least Common Multiple of 130 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 130 and 137, than apply into the LCM equation.

GCF(130,137) = 1
LCM(130,137) = ( 130 × 137) / 1
LCM(130,137) = 17810 / 1
LCM(130,137) = 17810

Properties of LCM 130 and 137

(i) The LCM of 137 and 130 is associative

LCM of 130 and 137 = LCM of 137 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 137

Frequently Asked Questions on LCM of 130 and 137

1. What is the LCM of 130 and 137?

Answer: LCM of 130 and 137 is 17810.

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 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 130 and 137?

Answer:

Least Common Multiple of 130 and 137 = 17810

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

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 = 17810 = 2 x 5 x 13 x 137

Step 4: Therefore, the least common multiple of 130 and 137 is 17810.