Least Common Multiple of 3109 and 3112

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 3112 the smallest integer that is 9675208 that is divisible by both numbers.

Least Common Multiple (LCM) of 3109 and 3112 is 9675208.

LCM(3109,3112) = 9675208

LCM of 3109 and 3112

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

LCM of:
and

Least Common Multiple of 3109 and 3112

LCM of 3109 and 3112 is 9675208

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3112. First we will calculate the prime factors of 3109 and 3112.

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 3112


2 3112
2 1556
2 778
389 389
1

Prime factors of 3112 are 2,389. Prime factorization of 3112 in exponential form is:

3112 = 23×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3112.

LCM(3109,3112) = 23×3891×31091
LCM(3109,3112) = 9675208

Factors of 3109

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

1, 3109

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1, 2, 4, 8, 389, 778, 1556, 3112

Least Common Multiple of 3109 and 3112 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 3112, than apply into the LCM equation.

GCF(3109,3112) = 1
LCM(3109,3112) = ( 3109 × 3112) / 1
LCM(3109,3112) = 9675208 / 1
LCM(3109,3112) = 9675208

Properties of LCM 3109 and 3112

(i) The LCM of 3112 and 3109 is associative

LCM of 3109 and 3112 = LCM of 3112 and 3109

Related Least Common Multiples of 3109

Related Least Common Multiples of 3112

Frequently Asked Questions on LCM of 3109 and 3112

1. What is the LCM of 3109 and 3112?

Answer: LCM of 3109 and 3112 is 9675208.

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 3112?

Answer: Factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112. There are 8 integers that are factors of 3112. The greatest factor of 3112 is 3112.

4. How to Find the LCM of 3109 and 3112?

Answer:

Least Common Multiple of 3109 and 3112 = 9675208

Step 1: Find the prime factorization of 3109

3109 = 3109

Step 2: Find the prime factorization of 3112

3112 = 2 x 2 x 2 x 389

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

LCM = 9675208 = 2 x 2 x 2 x 389 x 3109

Step 4: Therefore, the least common multiple of 3109 and 3112 is 9675208.