Least Common Multiple of 3103 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 3103 and 3109 the smallest integer that is 9647227 that is divisible by both numbers.

Least Common Multiple (LCM) of 3103 and 3109 is 9647227.

LCM(3103,3109) = 9647227

LCM of 3103 and 3109

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

LCM of:
and

Least Common Multiple of 3103 and 3109

LCM of 3103 and 3109 is 9647227

Least common multiple can be found by multiplying the highest exponent prime factors of 3103 and 3109. First we will calculate the prime factors of 3103 and 3109.

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 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 3103 and 3109.

LCM(3103,3109) = 291×1071×31091
LCM(3103,3109) = 9647227

Factors of 3103

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

1, 29, 107, 3103

Factors of 3109

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

1, 3109

Least Common Multiple of 3103 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 3103 and 3109, than apply into the LCM equation.

GCF(3103,3109) = 1
LCM(3103,3109) = ( 3103 × 3109) / 1
LCM(3103,3109) = 9647227 / 1
LCM(3103,3109) = 9647227

Properties of LCM 3103 and 3109

(i) The LCM of 3109 and 3103 is associative

LCM of 3103 and 3109 = LCM of 3109 and 3103

Related Least Common Multiples of 3103

Related Least Common Multiples of 3109

Frequently Asked Questions on LCM of 3103 and 3109

1. What is the LCM of 3103 and 3109?

Answer: LCM of 3103 and 3109 is 9647227.

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 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 3103 and 3109?

Answer:

Least Common Multiple of 3103 and 3109 = 9647227

Step 1: Find the prime factorization of 3103

3103 = 29 x 107

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 = 9647227 = 29 x 107 x 3109

Step 4: Therefore, the least common multiple of 3103 and 3109 is 9647227.