Least Common Multiple of 3102 and 3108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3102 and 3108 the smallest integer that is 1606836 that is divisible by both numbers.

Least Common Multiple (LCM) of 3102 and 3108 is 1606836.

LCM(3102,3108) = 1606836

LCM of 3102 and 3108

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

LCM of:
and

Least Common Multiple of 3102 and 3108

LCM of 3102 and 3108 is 1606836

Least common multiple can be found by multiplying the highest exponent prime factors of 3102 and 3108. First we will calculate the prime factors of 3102 and 3108.

Prime Factorization of 3102


2 3102
3 1551
11 517
47 47
1

Prime factors of 3102 are 2, 3, 11,47. Prime factorization of 3102 in exponential form is:

3102 = 21×31×111×471

Prime Factorization of 3108


2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 3108 are 2, 3, 7,37. Prime factorization of 3108 in exponential form is:

3108 = 22×31×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3102 and 3108.

LCM(3102,3108) = 22×31×71×111×371×471
LCM(3102,3108) = 1606836

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102

Factors of 3108

List of positive integer factors of 3108 that divides 3108 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108

Least Common Multiple of 3102 and 3108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3102 and 3108, than apply into the LCM equation.

GCF(3102,3108) = 6
LCM(3102,3108) = ( 3102 × 3108) / 6
LCM(3102,3108) = 9641016 / 6
LCM(3102,3108) = 1606836

Properties of LCM 3102 and 3108

(i) The LCM of 3108 and 3102 is associative

LCM of 3102 and 3108 = LCM of 3108 and 3102

Related Least Common Multiples of 3102

Related Least Common Multiples of 3108

Frequently Asked Questions on LCM of 3102 and 3108

1. What is the LCM of 3102 and 3108?

Answer: LCM of 3102 and 3108 is 1606836.

2. What are the Factors of 3102?

Answer: Factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102. There are 16 integers that are factors of 3102. The greatest factor of 3102 is 3102.

3. What are the Factors of 3108?

Answer: Factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108. There are 24 integers that are factors of 3108. The greatest factor of 3108 is 3108.

4. How to Find the LCM of 3102 and 3108?

Answer:

Least Common Multiple of 3102 and 3108 = 1606836

Step 1: Find the prime factorization of 3102

3102 = 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 3108

3108 = 2 x 2 x 3 x 7 x 37

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

LCM = 1606836 = 2 x 2 x 3 x 7 x 11 x 37 x 47

Step 4: Therefore, the least common multiple of 3102 and 3108 is 1606836.