Least Common Multiple of 3105 and 3106

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 3106 the smallest integer that is 9644130 that is divisible by both numbers.

Least Common Multiple (LCM) of 3105 and 3106 is 9644130.

LCM(3105,3106) = 9644130

LCM of 3105 and 3106

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

LCM of:
and

Least Common Multiple of 3105 and 3106

LCM of 3105 and 3106 is 9644130

Least common multiple can be found by multiplying the highest exponent prime factors of 3105 and 3106. First we will calculate the prime factors of 3105 and 3106.

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 3106


2 3106
1553 1553
1

Prime factors of 3106 are 2,1553. Prime factorization of 3106 in exponential form is:

3106 = 21×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 3105 and 3106.

LCM(3105,3106) = 21×33×51×231×15531
LCM(3105,3106) = 9644130

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 3106

List of positive integer factors of 3106 that divides 3106 without a remainder.

1, 2, 1553, 3106

Least Common Multiple of 3105 and 3106 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 3106, than apply into the LCM equation.

GCF(3105,3106) = 1
LCM(3105,3106) = ( 3105 × 3106) / 1
LCM(3105,3106) = 9644130 / 1
LCM(3105,3106) = 9644130

Properties of LCM 3105 and 3106

(i) The LCM of 3106 and 3105 is associative

LCM of 3105 and 3106 = LCM of 3106 and 3105

Related Least Common Multiples of 3105

Related Least Common Multiples of 3106

Frequently Asked Questions on LCM of 3105 and 3106

1. What is the LCM of 3105 and 3106?

Answer: LCM of 3105 and 3106 is 9644130.

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 3106?

Answer: Factors of 3106 are 1, 2, 1553, 3106. There are 4 integers that are factors of 3106. The greatest factor of 3106 is 3106.

4. How to Find the LCM of 3105 and 3106?

Answer:

Least Common Multiple of 3105 and 3106 = 9644130

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 3106

3106 = 2 x 1553

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

LCM = 9644130 = 2 x 3 x 3 x 3 x 5 x 23 x 1553

Step 4: Therefore, the least common multiple of 3105 and 3106 is 9644130.