Least Common Multiple of 3105 and 3109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3105 and 3109 the smallest integer that is 9653445 that is divisible by both numbers.

Least Common Multiple (LCM) of 3105 and 3109 is 9653445.

LCM(3105,3109) = 9653445

LCM of 3105 and 3109

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

LCM of:
and

Least Common Multiple of 3105 and 3109

LCM of 3105 and 3109 is 9653445

Least common multiple can be found by multiplying the highest exponent prime factors of 3105 and 3109. First we will calculate the prime factors of 3105 and 3109.

Prime Factorization of 3105


3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 3105 are 3, 5,23. Prime factorization of 3105 in exponential form is:

3105 = 33×51×231

Prime Factorization of 3109


3109 3109
1

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

3109 = 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 3105 and 3109.

LCM(3105,3109) = 33×51×231×31091
LCM(3105,3109) = 9653445

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105

Factors of 3109

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

1, 3109

Least Common Multiple of 3105 and 3109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3105 and 3109, than apply into the LCM equation.

GCF(3105,3109) = 1
LCM(3105,3109) = ( 3105 × 3109) / 1
LCM(3105,3109) = 9653445 / 1
LCM(3105,3109) = 9653445

Properties of LCM 3105 and 3109

(i) The LCM of 3109 and 3105 is associative

LCM of 3105 and 3109 = LCM of 3109 and 3105

Related Least Common Multiples of 3105

Related Least Common Multiples of 3109

Frequently Asked Questions on LCM of 3105 and 3109

1. What is the LCM of 3105 and 3109?

Answer: LCM of 3105 and 3109 is 9653445.

2. What are the Factors of 3105?

Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.

3. 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.

4. How to Find the LCM of 3105 and 3109?

Answer:

Least Common Multiple of 3105 and 3109 = 9653445

Step 1: Find the prime factorization of 3105

3105 = 3 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 3109

3109 = 3109

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

LCM = 9653445 = 3 x 3 x 3 x 5 x 23 x 3109

Step 4: Therefore, the least common multiple of 3105 and 3109 is 9653445.