Least Common Multiple of 6105 and 6111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6105 and 6111 the smallest integer that is 12435885 that is divisible by both numbers.

Least Common Multiple (LCM) of 6105 and 6111 is 12435885.

LCM(6105,6111) = 12435885

LCM of 6105 and 6111

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

LCM of:
and

Least Common Multiple of 6105 and 6111

LCM of 6105 and 6111 is 12435885

Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6111. First we will calculate the prime factors of 6105 and 6111.

Prime Factorization of 6105


3 6105
5 2035
11 407
37 37
1

Prime factors of 6105 are 3, 5, 11,37. Prime factorization of 6105 in exponential form is:

6105 = 31×51×111×371

Prime Factorization of 6111


3 6111
3 2037
7 679
97 97
1

Prime factors of 6111 are 3, 7,97. Prime factorization of 6111 in exponential form is:

6111 = 32×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6111.

LCM(6105,6111) = 32×51×71×111×371×971
LCM(6105,6111) = 12435885

Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105

Factors of 6111

List of positive integer factors of 6111 that divides 6111 without a remainder.

1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037, 6111

Least Common Multiple of 6105 and 6111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6111, than apply into the LCM equation.

GCF(6105,6111) = 3
LCM(6105,6111) = ( 6105 × 6111) / 3
LCM(6105,6111) = 37307655 / 3
LCM(6105,6111) = 12435885

Properties of LCM 6105 and 6111

(i) The LCM of 6111 and 6105 is associative

LCM of 6105 and 6111 = LCM of 6111 and 6105

Related Least Common Multiples of 6105

Related Least Common Multiples of 6111

Frequently Asked Questions on LCM of 6105 and 6111

1. What is the LCM of 6105 and 6111?

Answer: LCM of 6105 and 6111 is 12435885.

2. What are the Factors of 6105?

Answer: Factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105. There are 16 integers that are factors of 6105. The greatest factor of 6105 is 6105.

3. What are the Factors of 6111?

Answer: Factors of 6111 are 1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037, 6111. There are 12 integers that are factors of 6111. The greatest factor of 6111 is 6111.

4. How to Find the LCM of 6105 and 6111?

Answer:

Least Common Multiple of 6105 and 6111 = 12435885

Step 1: Find the prime factorization of 6105

6105 = 3 x 5 x 11 x 37

Step 2: Find the prime factorization of 6111

6111 = 3 x 3 x 7 x 97

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

LCM = 12435885 = 3 x 3 x 5 x 7 x 11 x 37 x 97

Step 4: Therefore, the least common multiple of 6105 and 6111 is 12435885.