Least Common Multiple of 6116 and 6122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6116 and 6122 the smallest integer that is 18721076 that is divisible by both numbers.

Least Common Multiple (LCM) of 6116 and 6122 is 18721076.

LCM(6116,6122) = 18721076

LCM of 6116 and 6122

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

LCM of:
and

Least Common Multiple of 6116 and 6122

LCM of 6116 and 6122 is 18721076

Least common multiple can be found by multiplying the highest exponent prime factors of 6116 and 6122. First we will calculate the prime factors of 6116 and 6122.

Prime Factorization of 6116


2 6116
2 3058
11 1529
139 139
1

Prime factors of 6116 are 2, 11,139. Prime factorization of 6116 in exponential form is:

6116 = 22×111×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6116 and 6122.

LCM(6116,6122) = 22×111×1391×30611
LCM(6116,6122) = 18721076

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116

Factors of 6122

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

1, 2, 3061, 6122

Least Common Multiple of 6116 and 6122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6116 and 6122, than apply into the LCM equation.

GCF(6116,6122) = 2
LCM(6116,6122) = ( 6116 × 6122) / 2
LCM(6116,6122) = 37442152 / 2
LCM(6116,6122) = 18721076

Properties of LCM 6116 and 6122

(i) The LCM of 6122 and 6116 is associative

LCM of 6116 and 6122 = LCM of 6122 and 6116

Related Least Common Multiples of 6116

Related Least Common Multiples of 6122

Frequently Asked Questions on LCM of 6116 and 6122

1. What is the LCM of 6116 and 6122?

Answer: LCM of 6116 and 6122 is 18721076.

2. What are the Factors of 6116?

Answer: Factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116. There are 12 integers that are factors of 6116. The greatest factor of 6116 is 6116.

3. 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.

4. How to Find the LCM of 6116 and 6122?

Answer:

Least Common Multiple of 6116 and 6122 = 18721076

Step 1: Find the prime factorization of 6116

6116 = 2 x 2 x 11 x 139

Step 2: Find the prime factorization of 6122

6122 = 2 x 3061

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

LCM = 18721076 = 2 x 2 x 11 x 139 x 3061

Step 4: Therefore, the least common multiple of 6116 and 6122 is 18721076.