Least Common Multiple of 3096 and 3103

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 3103 the smallest integer that is 9606888 that is divisible by both numbers.

Least Common Multiple (LCM) of 3096 and 3103 is 9606888.

LCM(3096,3103) = 9606888

LCM of 3096 and 3103

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

LCM of:
and

Least Common Multiple of 3096 and 3103

LCM of 3096 and 3103 is 9606888

Least common multiple can be found by multiplying the highest exponent prime factors of 3096 and 3103. First we will calculate the prime factors of 3096 and 3103.

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 3103


29 3103
107 107
1

Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:

3103 = 291×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3096 and 3103.

LCM(3096,3103) = 23×32×291×431×1071
LCM(3096,3103) = 9606888

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 3103

List of positive integer factors of 3103 that divides 3103 without a remainder.

1, 29, 107, 3103

Least Common Multiple of 3096 and 3103 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 3103, than apply into the LCM equation.

GCF(3096,3103) = 1
LCM(3096,3103) = ( 3096 × 3103) / 1
LCM(3096,3103) = 9606888 / 1
LCM(3096,3103) = 9606888

Properties of LCM 3096 and 3103

(i) The LCM of 3103 and 3096 is associative

LCM of 3096 and 3103 = LCM of 3103 and 3096

Related Least Common Multiples of 3096

Related Least Common Multiples of 3103

Frequently Asked Questions on LCM of 3096 and 3103

1. What is the LCM of 3096 and 3103?

Answer: LCM of 3096 and 3103 is 9606888.

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 3103?

Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.

4. How to Find the LCM of 3096 and 3103?

Answer:

Least Common Multiple of 3096 and 3103 = 9606888

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 3103

3103 = 29 x 107

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

LCM = 9606888 = 2 x 2 x 2 x 3 x 3 x 29 x 43 x 107

Step 4: Therefore, the least common multiple of 3096 and 3103 is 9606888.