Least Common Multiple of 6122 and 6126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6122 and 6126 the smallest integer that is 18751686 that is divisible by both numbers.

Least Common Multiple (LCM) of 6122 and 6126 is 18751686.

LCM(6122,6126) = 18751686

LCM of 6122 and 6126

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

LCM of:
and

Least Common Multiple of 6122 and 6126

LCM of 6122 and 6126 is 18751686

Least common multiple can be found by multiplying the highest exponent prime factors of 6122 and 6126. First we will calculate the prime factors of 6122 and 6126.

Prime Factorization of 6122


2 6122
3061 3061
1

Prime factors of 6122 are 2,3061. Prime factorization of 6122 in exponential form is:

6122 = 21×30611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6122 and 6126.

LCM(6122,6126) = 21×31×10211×30611
LCM(6122,6126) = 18751686

Factors of 6122

List of positive integer factors of 6122 that divides 6122 without a remainder.

1, 2, 3061, 6122

Factors of 6126

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

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

Least Common Multiple of 6122 and 6126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6122 and 6126, than apply into the LCM equation.

GCF(6122,6126) = 2
LCM(6122,6126) = ( 6122 × 6126) / 2
LCM(6122,6126) = 37503372 / 2
LCM(6122,6126) = 18751686

Properties of LCM 6122 and 6126

(i) The LCM of 6126 and 6122 is associative

LCM of 6122 and 6126 = LCM of 6126 and 6122

Related Least Common Multiples of 6122

Related Least Common Multiples of 6126

Frequently Asked Questions on LCM of 6122 and 6126

1. What is the LCM of 6122 and 6126?

Answer: LCM of 6122 and 6126 is 18751686.

2. What are the Factors of 6122?

Answer: Factors of 6122 are 1, 2, 3061, 6122. There are 4 integers that are factors of 6122. The greatest factor of 6122 is 6122.

3. 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.

4. How to Find the LCM of 6122 and 6126?

Answer:

Least Common Multiple of 6122 and 6126 = 18751686

Step 1: Find the prime factorization of 6122

6122 = 2 x 3061

Step 2: Find the prime factorization of 6126

6126 = 2 x 3 x 1021

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

LCM = 18751686 = 2 x 3 x 1021 x 3061

Step 4: Therefore, the least common multiple of 6122 and 6126 is 18751686.