Least Common Multiple of 6130 and 6136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6130 and 6136 the smallest integer that is 18806840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6130 and 6136 is 18806840.

LCM(6130,6136) = 18806840

LCM of 6130 and 6136

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

LCM of:
and

Least Common Multiple of 6130 and 6136

LCM of 6130 and 6136 is 18806840

Least common multiple can be found by multiplying the highest exponent prime factors of 6130 and 6136. First we will calculate the prime factors of 6130 and 6136.

Prime Factorization of 6130


2 6130
5 3065
613 613
1

Prime factors of 6130 are 2, 5,613. Prime factorization of 6130 in exponential form is:

6130 = 21×51×6131

Prime Factorization of 6136


2 6136
2 3068
2 1534
13 767
59 59
1

Prime factors of 6136 are 2, 13,59. Prime factorization of 6136 in exponential form is:

6136 = 23×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6130 and 6136.

LCM(6130,6136) = 23×51×131×591×6131
LCM(6130,6136) = 18806840

Factors of 6130

List of positive integer factors of 6130 that divides 6130 without a remainder.

1, 2, 5, 10, 613, 1226, 3065, 6130

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136

Least Common Multiple of 6130 and 6136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6130 and 6136, than apply into the LCM equation.

GCF(6130,6136) = 2
LCM(6130,6136) = ( 6130 × 6136) / 2
LCM(6130,6136) = 37613680 / 2
LCM(6130,6136) = 18806840

Properties of LCM 6130 and 6136

(i) The LCM of 6136 and 6130 is associative

LCM of 6130 and 6136 = LCM of 6136 and 6130

Related Least Common Multiples of 6130

Related Least Common Multiples of 6136

Frequently Asked Questions on LCM of 6130 and 6136

1. What is the LCM of 6130 and 6136?

Answer: LCM of 6130 and 6136 is 18806840.

2. What are the Factors of 6130?

Answer: Factors of 6130 are 1, 2, 5, 10, 613, 1226, 3065, 6130. There are 8 integers that are factors of 6130. The greatest factor of 6130 is 6130.

3. What are the Factors of 6136?

Answer: Factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136. There are 16 integers that are factors of 6136. The greatest factor of 6136 is 6136.

4. How to Find the LCM of 6130 and 6136?

Answer:

Least Common Multiple of 6130 and 6136 = 18806840

Step 1: Find the prime factorization of 6130

6130 = 2 x 5 x 613

Step 2: Find the prime factorization of 6136

6136 = 2 x 2 x 2 x 13 x 59

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

LCM = 18806840 = 2 x 2 x 2 x 5 x 13 x 59 x 613

Step 4: Therefore, the least common multiple of 6130 and 6136 is 18806840.