Least Common Multiple of 6102 and 6108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6102 and 6108 the smallest integer that is 6211836 that is divisible by both numbers.

Least Common Multiple (LCM) of 6102 and 6108 is 6211836.

LCM(6102,6108) = 6211836

LCM of 6102 and 6108

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

LCM of:
and

Least Common Multiple of 6102 and 6108

LCM of 6102 and 6108 is 6211836

Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6108. First we will calculate the prime factors of 6102 and 6108.

Prime Factorization of 6102


2 6102
3 3051
3 1017
3 339
113 113
1

Prime factors of 6102 are 2, 3,113. Prime factorization of 6102 in exponential form is:

6102 = 21×33×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6108.

LCM(6102,6108) = 22×33×1131×5091
LCM(6102,6108) = 6211836

Factors of 6102

List of positive integer factors of 6102 that divides 6102 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102

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

Least Common Multiple of 6102 and 6108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6102 and 6108, than apply into the LCM equation.

GCF(6102,6108) = 6
LCM(6102,6108) = ( 6102 × 6108) / 6
LCM(6102,6108) = 37271016 / 6
LCM(6102,6108) = 6211836

Properties of LCM 6102 and 6108

(i) The LCM of 6108 and 6102 is associative

LCM of 6102 and 6108 = LCM of 6108 and 6102

Related Least Common Multiples of 6102

Related Least Common Multiples of 6108

Frequently Asked Questions on LCM of 6102 and 6108

1. What is the LCM of 6102 and 6108?

Answer: LCM of 6102 and 6108 is 6211836.

2. What are the Factors of 6102?

Answer: Factors of 6102 are 1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102. There are 16 integers that are factors of 6102. The greatest factor of 6102 is 6102.

3. 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.

4. How to Find the LCM of 6102 and 6108?

Answer:

Least Common Multiple of 6102 and 6108 = 6211836

Step 1: Find the prime factorization of 6102

6102 = 2 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 6108

6108 = 2 x 2 x 3 x 509

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

LCM = 6211836 = 2 x 2 x 3 x 3 x 3 x 113 x 509

Step 4: Therefore, the least common multiple of 6102 and 6108 is 6211836.