Least Common Multiple of 3109 and 3117

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 3117 the smallest integer that is 9690753 that is divisible by both numbers.

Least Common Multiple (LCM) of 3109 and 3117 is 9690753.

LCM(3109,3117) = 9690753

LCM of 3109 and 3117

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

LCM of:
and

Least Common Multiple of 3109 and 3117

LCM of 3109 and 3117 is 9690753

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3117. First we will calculate the prime factors of 3109 and 3117.

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 3117


3 3117
1039 1039
1

Prime factors of 3117 are 3,1039. Prime factorization of 3117 in exponential form is:

3117 = 31×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3117.

LCM(3109,3117) = 31×10391×31091
LCM(3109,3117) = 9690753

Factors of 3109

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

1, 3109

Factors of 3117

List of positive integer factors of 3117 that divides 3117 without a remainder.

1, 3, 1039, 3117

Least Common Multiple of 3109 and 3117 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 3117, than apply into the LCM equation.

GCF(3109,3117) = 1
LCM(3109,3117) = ( 3109 × 3117) / 1
LCM(3109,3117) = 9690753 / 1
LCM(3109,3117) = 9690753

Properties of LCM 3109 and 3117

(i) The LCM of 3117 and 3109 is associative

LCM of 3109 and 3117 = LCM of 3117 and 3109

Related Least Common Multiples of 3109

Related Least Common Multiples of 3117

Frequently Asked Questions on LCM of 3109 and 3117

1. What is the LCM of 3109 and 3117?

Answer: LCM of 3109 and 3117 is 9690753.

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 3117?

Answer: Factors of 3117 are 1, 3, 1039, 3117. There are 4 integers that are factors of 3117. The greatest factor of 3117 is 3117.

4. How to Find the LCM of 3109 and 3117?

Answer:

Least Common Multiple of 3109 and 3117 = 9690753

Step 1: Find the prime factorization of 3109

3109 = 3109

Step 2: Find the prime factorization of 3117

3117 = 3 x 1039

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

LCM = 9690753 = 3 x 1039 x 3109

Step 4: Therefore, the least common multiple of 3109 and 3117 is 9690753.