Least Common Multiple of 3103 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 3103 and 3108 the smallest integer that is 9644124 that is divisible by both numbers.

Least Common Multiple (LCM) of 3103 and 3108 is 9644124.

LCM(3103,3108) = 9644124

LCM of 3103 and 3108

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

LCM of:
and

Least Common Multiple of 3103 and 3108

LCM of 3103 and 3108 is 9644124

Least common multiple can be found by multiplying the highest exponent prime factors of 3103 and 3108. First we will calculate the prime factors of 3103 and 3108.

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

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 3103 and 3108.

LCM(3103,3108) = 22×31×71×291×371×1071
LCM(3103,3108) = 9644124

Factors of 3103

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

1, 29, 107, 3103

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 3103 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 3103 and 3108, than apply into the LCM equation.

GCF(3103,3108) = 1
LCM(3103,3108) = ( 3103 × 3108) / 1
LCM(3103,3108) = 9644124 / 1
LCM(3103,3108) = 9644124

Properties of LCM 3103 and 3108

(i) The LCM of 3108 and 3103 is associative

LCM of 3103 and 3108 = LCM of 3108 and 3103

Related Least Common Multiples of 3103

Related Least Common Multiples of 3108

Frequently Asked Questions on LCM of 3103 and 3108

1. What is the LCM of 3103 and 3108?

Answer: LCM of 3103 and 3108 is 9644124.

2. 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.

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 3103 and 3108?

Answer:

Least Common Multiple of 3103 and 3108 = 9644124

Step 1: Find the prime factorization of 3103

3103 = 29 x 107

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 = 9644124 = 2 x 2 x 3 x 7 x 29 x 37 x 107

Step 4: Therefore, the least common multiple of 3103 and 3108 is 9644124.