Least Common Multiple of 6129 and 6130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6129 and 6130 the smallest integer that is 37570770 that is divisible by both numbers.

Least Common Multiple (LCM) of 6129 and 6130 is 37570770.

LCM(6129,6130) = 37570770

LCM of 6129 and 6130

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

LCM of:
and

Least Common Multiple of 6129 and 6130

LCM of 6129 and 6130 is 37570770

Least common multiple can be found by multiplying the highest exponent prime factors of 6129 and 6130. First we will calculate the prime factors of 6129 and 6130.

Prime Factorization of 6129


3 6129
3 2043
3 681
227 227
1

Prime factors of 6129 are 3,227. Prime factorization of 6129 in exponential form is:

6129 = 33×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6129 and 6130.

LCM(6129,6130) = 21×33×51×2271×6131
LCM(6129,6130) = 37570770

Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1, 3, 9, 27, 227, 681, 2043, 6129

Factors of 6130

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

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

Least Common Multiple of 6129 and 6130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6129 and 6130, than apply into the LCM equation.

GCF(6129,6130) = 1
LCM(6129,6130) = ( 6129 × 6130) / 1
LCM(6129,6130) = 37570770 / 1
LCM(6129,6130) = 37570770

Properties of LCM 6129 and 6130

(i) The LCM of 6130 and 6129 is associative

LCM of 6129 and 6130 = LCM of 6130 and 6129

Related Least Common Multiples of 6129

Related Least Common Multiples of 6130

Frequently Asked Questions on LCM of 6129 and 6130

1. What is the LCM of 6129 and 6130?

Answer: LCM of 6129 and 6130 is 37570770.

2. What are the Factors of 6129?

Answer: Factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129. There are 8 integers that are factors of 6129. The greatest factor of 6129 is 6129.

3. 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.

4. How to Find the LCM of 6129 and 6130?

Answer:

Least Common Multiple of 6129 and 6130 = 37570770

Step 1: Find the prime factorization of 6129

6129 = 3 x 3 x 3 x 227

Step 2: Find the prime factorization of 6130

6130 = 2 x 5 x 613

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

LCM = 37570770 = 2 x 3 x 3 x 3 x 5 x 227 x 613

Step 4: Therefore, the least common multiple of 6129 and 6130 is 37570770.