Least Common Multiple of 3109 and 3113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3109 and 3113 the smallest integer that is 9678317 that is divisible by both numbers.

Least Common Multiple (LCM) of 3109 and 3113 is 9678317.

LCM(3109,3113) = 9678317

LCM of 3109 and 3113

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

LCM of:
and

Least Common Multiple of 3109 and 3113

LCM of 3109 and 3113 is 9678317

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3113. First we will calculate the prime factors of 3109 and 3113.

Prime Factorization of 3109


3109 3109
1

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

3109 = 31091

Prime Factorization of 3113


11 3113
283 283
1

Prime factors of 3113 are 11,283. Prime factorization of 3113 in exponential form is:

3113 = 111×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3113.

LCM(3109,3113) = 111×2831×31091
LCM(3109,3113) = 9678317

Factors of 3109

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

1, 3109

Factors of 3113

List of positive integer factors of 3113 that divides 3113 without a remainder.

1, 11, 283, 3113

Least Common Multiple of 3109 and 3113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3109 and 3113, than apply into the LCM equation.

GCF(3109,3113) = 1
LCM(3109,3113) = ( 3109 × 3113) / 1
LCM(3109,3113) = 9678317 / 1
LCM(3109,3113) = 9678317

Properties of LCM 3109 and 3113

(i) The LCM of 3113 and 3109 is associative

LCM of 3109 and 3113 = LCM of 3113 and 3109

Related Least Common Multiples of 3109

Related Least Common Multiples of 3113

Frequently Asked Questions on LCM of 3109 and 3113

1. What is the LCM of 3109 and 3113?

Answer: LCM of 3109 and 3113 is 9678317.

2. 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.

3. What are the Factors of 3113?

Answer: Factors of 3113 are 1, 11, 283, 3113. There are 4 integers that are factors of 3113. The greatest factor of 3113 is 3113.

4. How to Find the LCM of 3109 and 3113?

Answer:

Least Common Multiple of 3109 and 3113 = 9678317

Step 1: Find the prime factorization of 3109

3109 = 3109

Step 2: Find the prime factorization of 3113

3113 = 11 x 283

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

LCM = 9678317 = 11 x 283 x 3109

Step 4: Therefore, the least common multiple of 3109 and 3113 is 9678317.