Least Common Multiple of 130 and 131

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 131 the smallest integer that is 17030 that is divisible by both numbers.

Least Common Multiple (LCM) of 130 and 131 is 17030.

LCM(130,131) = 17030

LCM of 130 and 131

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

LCM of:
and

Least Common Multiple of 130 and 131

LCM of 130 and 131 is 17030

Least common multiple can be found by multiplying the highest exponent prime factors of 130 and 131. First we will calculate the prime factors of 130 and 131.

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 131


131 131
1

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 130 and 131.

LCM(130,131) = 21×51×131×1311
LCM(130,131) = 17030

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 131

List of positive integer factors of 131 that divides 131 without a remainder.

1, 131

Least Common Multiple of 130 and 131 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 131, than apply into the LCM equation.

GCF(130,131) = 1
LCM(130,131) = ( 130 × 131) / 1
LCM(130,131) = 17030 / 1
LCM(130,131) = 17030

Properties of LCM 130 and 131

(i) The LCM of 131 and 130 is associative

LCM of 130 and 131 = LCM of 131 and 130

Related Least Common Multiples of 130

Related Least Common Multiples of 131

Frequently Asked Questions on LCM of 130 and 131

1. What is the LCM of 130 and 131?

Answer: LCM of 130 and 131 is 17030.

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 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the LCM of 130 and 131?

Answer:

Least Common Multiple of 130 and 131 = 17030

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 131

131 = 131

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

LCM = 17030 = 2 x 5 x 13 x 131

Step 4: Therefore, the least common multiple of 130 and 131 is 17030.