Least Common Multiple of 3102 and 3109

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 3109 the smallest integer that is 9644118 that is divisible by both numbers.

Least Common Multiple (LCM) of 3102 and 3109 is 9644118.

LCM(3102,3109) = 9644118

LCM of 3102 and 3109

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

LCM of:
and

Least Common Multiple of 3102 and 3109

LCM of 3102 and 3109 is 9644118

Least common multiple can be found by multiplying the highest exponent prime factors of 3102 and 3109. First we will calculate the prime factors of 3102 and 3109.

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 3109


3109 3109
1

Prime factors of 3109 are 3109. Prime factorization of 3109 in exponential form is:

3109 = 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 3102 and 3109.

LCM(3102,3109) = 21×31×111×471×31091
LCM(3102,3109) = 9644118

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 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1, 3109

Least Common Multiple of 3102 and 3109 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 3109, than apply into the LCM equation.

GCF(3102,3109) = 1
LCM(3102,3109) = ( 3102 × 3109) / 1
LCM(3102,3109) = 9644118 / 1
LCM(3102,3109) = 9644118

Properties of LCM 3102 and 3109

(i) The LCM of 3109 and 3102 is associative

LCM of 3102 and 3109 = LCM of 3109 and 3102

Related Least Common Multiples of 3102

Related Least Common Multiples of 3109

Frequently Asked Questions on LCM of 3102 and 3109

1. What is the LCM of 3102 and 3109?

Answer: LCM of 3102 and 3109 is 9644118.

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 3109?

Answer: Factors of 3109 are 1, 3109. There are 2 integers that are factors of 3109. The greatest factor of 3109 is 3109.

4. How to Find the LCM of 3102 and 3109?

Answer:

Least Common Multiple of 3102 and 3109 = 9644118

Step 1: Find the prime factorization of 3102

3102 = 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 3109

3109 = 3109

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

LCM = 9644118 = 2 x 3 x 11 x 47 x 3109

Step 4: Therefore, the least common multiple of 3102 and 3109 is 9644118.