Least Common Multiple of 6126 and 6134

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 6134 the smallest integer that is 18788442 that is divisible by both numbers.

Least Common Multiple (LCM) of 6126 and 6134 is 18788442.

LCM(6126,6134) = 18788442

LCM of 6126 and 6134

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

LCM of:
and

Least Common Multiple of 6126 and 6134

LCM of 6126 and 6134 is 18788442

Least common multiple can be found by multiplying the highest exponent prime factors of 6126 and 6134. First we will calculate the prime factors of 6126 and 6134.

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 6134


2 6134
3067 3067
1

Prime factors of 6134 are 2,3067. Prime factorization of 6134 in exponential form is:

6134 = 21×30671

Now multiplying the highest exponent prime factors to calculate the LCM of 6126 and 6134.

LCM(6126,6134) = 21×31×10211×30671
LCM(6126,6134) = 18788442

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 6134

List of positive integer factors of 6134 that divides 6134 without a remainder.

1, 2, 3067, 6134

Least Common Multiple of 6126 and 6134 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 6134, than apply into the LCM equation.

GCF(6126,6134) = 2
LCM(6126,6134) = ( 6126 × 6134) / 2
LCM(6126,6134) = 37576884 / 2
LCM(6126,6134) = 18788442

Properties of LCM 6126 and 6134

(i) The LCM of 6134 and 6126 is associative

LCM of 6126 and 6134 = LCM of 6134 and 6126

Related Least Common Multiples of 6126

Related Least Common Multiples of 6134

Frequently Asked Questions on LCM of 6126 and 6134

1. What is the LCM of 6126 and 6134?

Answer: LCM of 6126 and 6134 is 18788442.

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 6134?

Answer: Factors of 6134 are 1, 2, 3067, 6134. There are 4 integers that are factors of 6134. The greatest factor of 6134 is 6134.

4. How to Find the LCM of 6126 and 6134?

Answer:

Least Common Multiple of 6126 and 6134 = 18788442

Step 1: Find the prime factorization of 6126

6126 = 2 x 3 x 1021

Step 2: Find the prime factorization of 6134

6134 = 2 x 3067

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

LCM = 18788442 = 2 x 3 x 1021 x 3067

Step 4: Therefore, the least common multiple of 6126 and 6134 is 18788442.