Least Common Multiple of 6126 and 6133

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 6133 the smallest integer that is 37570758 that is divisible by both numbers.

Least Common Multiple (LCM) of 6126 and 6133 is 37570758.

LCM(6126,6133) = 37570758

LCM of 6126 and 6133

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

LCM of:
and

Least Common Multiple of 6126 and 6133

LCM of 6126 and 6133 is 37570758

Least common multiple can be found by multiplying the highest exponent prime factors of 6126 and 6133. First we will calculate the prime factors of 6126 and 6133.

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 6133


6133 6133
1

Prime factors of 6133 are 6133. Prime factorization of 6133 in exponential form is:

6133 = 61331

Now multiplying the highest exponent prime factors to calculate the LCM of 6126 and 6133.

LCM(6126,6133) = 21×31×10211×61331
LCM(6126,6133) = 37570758

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 6133

List of positive integer factors of 6133 that divides 6133 without a remainder.

1, 6133

Least Common Multiple of 6126 and 6133 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 6133, than apply into the LCM equation.

GCF(6126,6133) = 1
LCM(6126,6133) = ( 6126 × 6133) / 1
LCM(6126,6133) = 37570758 / 1
LCM(6126,6133) = 37570758

Properties of LCM 6126 and 6133

(i) The LCM of 6133 and 6126 is associative

LCM of 6126 and 6133 = LCM of 6133 and 6126

Related Least Common Multiples of 6126

Related Least Common Multiples of 6133

Frequently Asked Questions on LCM of 6126 and 6133

1. What is the LCM of 6126 and 6133?

Answer: LCM of 6126 and 6133 is 37570758.

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 6133?

Answer: Factors of 6133 are 1, 6133. There are 2 integers that are factors of 6133. The greatest factor of 6133 is 6133.

4. How to Find the LCM of 6126 and 6133?

Answer:

Least Common Multiple of 6126 and 6133 = 37570758

Step 1: Find the prime factorization of 6126

6126 = 2 x 3 x 1021

Step 2: Find the prime factorization of 6133

6133 = 6133

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

LCM = 37570758 = 2 x 3 x 1021 x 6133

Step 4: Therefore, the least common multiple of 6126 and 6133 is 37570758.