Least Common Multiple of 3109 and 3114

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 3114 the smallest integer that is 9681426 that is divisible by both numbers.

Least Common Multiple (LCM) of 3109 and 3114 is 9681426.

LCM(3109,3114) = 9681426

LCM of 3109 and 3114

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

LCM of:
and

Least Common Multiple of 3109 and 3114

LCM of 3109 and 3114 is 9681426

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3114. First we will calculate the prime factors of 3109 and 3114.

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 3114


2 3114
3 1557
3 519
173 173
1

Prime factors of 3114 are 2, 3,173. Prime factorization of 3114 in exponential form is:

3114 = 21×32×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3114.

LCM(3109,3114) = 21×32×1731×31091
LCM(3109,3114) = 9681426

Factors of 3109

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

1, 3109

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114

Least Common Multiple of 3109 and 3114 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 3114, than apply into the LCM equation.

GCF(3109,3114) = 1
LCM(3109,3114) = ( 3109 × 3114) / 1
LCM(3109,3114) = 9681426 / 1
LCM(3109,3114) = 9681426

Properties of LCM 3109 and 3114

(i) The LCM of 3114 and 3109 is associative

LCM of 3109 and 3114 = LCM of 3114 and 3109

Related Least Common Multiples of 3109

Related Least Common Multiples of 3114

Frequently Asked Questions on LCM of 3109 and 3114

1. What is the LCM of 3109 and 3114?

Answer: LCM of 3109 and 3114 is 9681426.

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 3114?

Answer: Factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114. There are 12 integers that are factors of 3114. The greatest factor of 3114 is 3114.

4. How to Find the LCM of 3109 and 3114?

Answer:

Least Common Multiple of 3109 and 3114 = 9681426

Step 1: Find the prime factorization of 3109

3109 = 3109

Step 2: Find the prime factorization of 3114

3114 = 2 x 3 x 3 x 173

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

LCM = 9681426 = 2 x 3 x 3 x 173 x 3109

Step 4: Therefore, the least common multiple of 3109 and 3114 is 9681426.