Least Common Multiple of 6102 and 6110

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 6110 the smallest integer that is 18641610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6102 and 6110 is 18641610.

LCM(6102,6110) = 18641610

LCM of 6102 and 6110

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

LCM of:
and

Least Common Multiple of 6102 and 6110

LCM of 6102 and 6110 is 18641610

Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6110. First we will calculate the prime factors of 6102 and 6110.

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 6110


2 6110
5 3055
13 611
47 47
1

Prime factors of 6110 are 2, 5, 13,47. Prime factorization of 6110 in exponential form is:

6110 = 21×51×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6110.

LCM(6102,6110) = 21×33×51×131×471×1131
LCM(6102,6110) = 18641610

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 6110

List of positive integer factors of 6110 that divides 6110 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110

Least Common Multiple of 6102 and 6110 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 6110, than apply into the LCM equation.

GCF(6102,6110) = 2
LCM(6102,6110) = ( 6102 × 6110) / 2
LCM(6102,6110) = 37283220 / 2
LCM(6102,6110) = 18641610

Properties of LCM 6102 and 6110

(i) The LCM of 6110 and 6102 is associative

LCM of 6102 and 6110 = LCM of 6110 and 6102

Related Least Common Multiples of 6102

Related Least Common Multiples of 6110

Frequently Asked Questions on LCM of 6102 and 6110

1. What is the LCM of 6102 and 6110?

Answer: LCM of 6102 and 6110 is 18641610.

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 6110?

Answer: Factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110. There are 16 integers that are factors of 6110. The greatest factor of 6110 is 6110.

4. How to Find the LCM of 6102 and 6110?

Answer:

Least Common Multiple of 6102 and 6110 = 18641610

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 6110

6110 = 2 x 5 x 13 x 47

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

LCM = 18641610 = 2 x 3 x 3 x 3 x 5 x 13 x 47 x 113

Step 4: Therefore, the least common multiple of 6102 and 6110 is 18641610.