Least Common Multiple of 3096 and 3102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3096 and 3102 the smallest integer that is 1600632 that is divisible by both numbers.

Least Common Multiple (LCM) of 3096 and 3102 is 1600632.

LCM(3096,3102) = 1600632

LCM of 3096 and 3102

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

LCM of:
and

Least Common Multiple of 3096 and 3102

LCM of 3096 and 3102 is 1600632

Least common multiple can be found by multiplying the highest exponent prime factors of 3096 and 3102. First we will calculate the prime factors of 3096 and 3102.

Prime Factorization of 3096


2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 3096 are 2, 3,43. Prime factorization of 3096 in exponential form is:

3096 = 23×32×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3096 and 3102.

LCM(3096,3102) = 23×32×111×431×471
LCM(3096,3102) = 1600632

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096

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

Least Common Multiple of 3096 and 3102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3096 and 3102, than apply into the LCM equation.

GCF(3096,3102) = 6
LCM(3096,3102) = ( 3096 × 3102) / 6
LCM(3096,3102) = 9603792 / 6
LCM(3096,3102) = 1600632

Properties of LCM 3096 and 3102

(i) The LCM of 3102 and 3096 is associative

LCM of 3096 and 3102 = LCM of 3102 and 3096

Related Least Common Multiples of 3096

Related Least Common Multiples of 3102

Frequently Asked Questions on LCM of 3096 and 3102

1. What is the LCM of 3096 and 3102?

Answer: LCM of 3096 and 3102 is 1600632.

2. What are the Factors of 3096?

Answer: Factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096. There are 24 integers that are factors of 3096. The greatest factor of 3096 is 3096.

3. 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.

4. How to Find the LCM of 3096 and 3102?

Answer:

Least Common Multiple of 3096 and 3102 = 1600632

Step 1: Find the prime factorization of 3096

3096 = 2 x 2 x 2 x 3 x 3 x 43

Step 2: Find the prime factorization of 3102

3102 = 2 x 3 x 11 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 = 1600632 = 2 x 2 x 2 x 3 x 3 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 3096 and 3102 is 1600632.