Least Common Multiple of 6108 and 6116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6108 and 6116 the smallest integer that is 9339132 that is divisible by both numbers.

Least Common Multiple (LCM) of 6108 and 6116 is 9339132.

LCM(6108,6116) = 9339132

LCM of 6108 and 6116

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

LCM of:
and

Least Common Multiple of 6108 and 6116

LCM of 6108 and 6116 is 9339132

Least common multiple can be found by multiplying the highest exponent prime factors of 6108 and 6116. First we will calculate the prime factors of 6108 and 6116.

Prime Factorization of 6108


2 6108
2 3054
3 1527
509 509
1

Prime factors of 6108 are 2, 3,509. Prime factorization of 6108 in exponential form is:

6108 = 22×31×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6108 and 6116.

LCM(6108,6116) = 22×31×111×1391×5091
LCM(6108,6116) = 9339132

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108

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

Least Common Multiple of 6108 and 6116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6108 and 6116, than apply into the LCM equation.

GCF(6108,6116) = 4
LCM(6108,6116) = ( 6108 × 6116) / 4
LCM(6108,6116) = 37356528 / 4
LCM(6108,6116) = 9339132

Properties of LCM 6108 and 6116

(i) The LCM of 6116 and 6108 is associative

LCM of 6108 and 6116 = LCM of 6116 and 6108

Related Least Common Multiples of 6108

Related Least Common Multiples of 6116

Frequently Asked Questions on LCM of 6108 and 6116

1. What is the LCM of 6108 and 6116?

Answer: LCM of 6108 and 6116 is 9339132.

2. What are the Factors of 6108?

Answer: Factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108. There are 12 integers that are factors of 6108. The greatest factor of 6108 is 6108.

3. 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.

4. How to Find the LCM of 6108 and 6116?

Answer:

Least Common Multiple of 6108 and 6116 = 9339132

Step 1: Find the prime factorization of 6108

6108 = 2 x 2 x 3 x 509

Step 2: Find the prime factorization of 6116

6116 = 2 x 2 x 11 x 139

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

LCM = 9339132 = 2 x 2 x 3 x 11 x 139 x 509

Step 4: Therefore, the least common multiple of 6108 and 6116 is 9339132.