Least Common Multiple of 3109 and 3116

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 3116 the smallest integer that is 9687644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3109 and 3116 is 9687644.

LCM(3109,3116) = 9687644

LCM of 3109 and 3116

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

LCM of:
and

Least Common Multiple of 3109 and 3116

LCM of 3109 and 3116 is 9687644

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3116. First we will calculate the prime factors of 3109 and 3116.

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 3116


2 3116
2 1558
19 779
41 41
1

Prime factors of 3116 are 2, 19,41. Prime factorization of 3116 in exponential form is:

3116 = 22×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3116.

LCM(3109,3116) = 22×191×411×31091
LCM(3109,3116) = 9687644

Factors of 3109

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

1, 3109

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116

Least Common Multiple of 3109 and 3116 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 3116, than apply into the LCM equation.

GCF(3109,3116) = 1
LCM(3109,3116) = ( 3109 × 3116) / 1
LCM(3109,3116) = 9687644 / 1
LCM(3109,3116) = 9687644

Properties of LCM 3109 and 3116

(i) The LCM of 3116 and 3109 is associative

LCM of 3109 and 3116 = LCM of 3116 and 3109

Related Least Common Multiples of 3109

Related Least Common Multiples of 3116

Frequently Asked Questions on LCM of 3109 and 3116

1. What is the LCM of 3109 and 3116?

Answer: LCM of 3109 and 3116 is 9687644.

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 3116?

Answer: Factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116. There are 12 integers that are factors of 3116. The greatest factor of 3116 is 3116.

4. How to Find the LCM of 3109 and 3116?

Answer:

Least Common Multiple of 3109 and 3116 = 9687644

Step 1: Find the prime factorization of 3109

3109 = 3109

Step 2: Find the prime factorization of 3116

3116 = 2 x 2 x 19 x 41

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

LCM = 9687644 = 2 x 2 x 19 x 41 x 3109

Step 4: Therefore, the least common multiple of 3109 and 3116 is 9687644.