Least Common Multiple of 6126 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 6126 and 6130 the smallest integer that is 18776190 that is divisible by both numbers.

Least Common Multiple (LCM) of 6126 and 6130 is 18776190.

LCM(6126,6130) = 18776190

LCM of 6126 and 6130

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

LCM of:
and

Least Common Multiple of 6126 and 6130

LCM of 6126 and 6130 is 18776190

Least common multiple can be found by multiplying the highest exponent prime factors of 6126 and 6130. First we will calculate the prime factors of 6126 and 6130.

Prime Factorization of 6126


2 6126
3 3063
1021 1021
1

Prime factors of 6126 are 2, 3,1021. Prime factorization of 6126 in exponential form is:

6126 = 21×31×10211

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 6126 and 6130.

LCM(6126,6130) = 21×31×51×6131×10211
LCM(6126,6130) = 18776190

Factors of 6126

List of positive integer factors of 6126 that divides 6126 without a remainder.

1, 2, 3, 6, 1021, 2042, 3063, 6126

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 6126 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 6126 and 6130, than apply into the LCM equation.

GCF(6126,6130) = 2
LCM(6126,6130) = ( 6126 × 6130) / 2
LCM(6126,6130) = 37552380 / 2
LCM(6126,6130) = 18776190

Properties of LCM 6126 and 6130

(i) The LCM of 6130 and 6126 is associative

LCM of 6126 and 6130 = LCM of 6130 and 6126

Related Least Common Multiples of 6126

Related Least Common Multiples of 6130

Frequently Asked Questions on LCM of 6126 and 6130

1. What is the LCM of 6126 and 6130?

Answer: LCM of 6126 and 6130 is 18776190.

2. What are the Factors of 6126?

Answer: Factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126. There are 8 integers that are factors of 6126. The greatest factor of 6126 is 6126.

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 6126 and 6130?

Answer:

Least Common Multiple of 6126 and 6130 = 18776190

Step 1: Find the prime factorization of 6126

6126 = 2 x 3 x 1021

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 = 18776190 = 2 x 3 x 5 x 613 x 1021

Step 4: Therefore, the least common multiple of 6126 and 6130 is 18776190.