Least Common Multiple of 6165 and 6171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6165 and 6171 the smallest integer that is 12681405 that is divisible by both numbers.

Least Common Multiple (LCM) of 6165 and 6171 is 12681405.

LCM(6165,6171) = 12681405

LCM of 6165 and 6171

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

LCM of:
and

Least Common Multiple of 6165 and 6171

LCM of 6165 and 6171 is 12681405

Least common multiple can be found by multiplying the highest exponent prime factors of 6165 and 6171. First we will calculate the prime factors of 6165 and 6171.

Prime Factorization of 6165


3 6165
3 2055
5 685
137 137
1

Prime factors of 6165 are 3, 5,137. Prime factorization of 6165 in exponential form is:

6165 = 32×51×1371

Prime Factorization of 6171


3 6171
11 2057
11 187
17 17
1

Prime factors of 6171 are 3, 11,17. Prime factorization of 6171 in exponential form is:

6171 = 31×112×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6165 and 6171.

LCM(6165,6171) = 32×51×112×171×1371
LCM(6165,6171) = 12681405

Factors of 6165

List of positive integer factors of 6165 that divides 6165 without a remainder.

1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165

Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171

Least Common Multiple of 6165 and 6171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6165 and 6171, than apply into the LCM equation.

GCF(6165,6171) = 3
LCM(6165,6171) = ( 6165 × 6171) / 3
LCM(6165,6171) = 38044215 / 3
LCM(6165,6171) = 12681405

Properties of LCM 6165 and 6171

(i) The LCM of 6171 and 6165 is associative

LCM of 6165 and 6171 = LCM of 6171 and 6165

Related Least Common Multiples of 6165

Related Least Common Multiples of 6171

Frequently Asked Questions on LCM of 6165 and 6171

1. What is the LCM of 6165 and 6171?

Answer: LCM of 6165 and 6171 is 12681405.

2. What are the Factors of 6165?

Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.

3. What are the Factors of 6171?

Answer: Factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171. There are 12 integers that are factors of 6171. The greatest factor of 6171 is 6171.

4. How to Find the LCM of 6165 and 6171?

Answer:

Least Common Multiple of 6165 and 6171 = 12681405

Step 1: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

Step 2: Find the prime factorization of 6171

6171 = 3 x 11 x 11 x 17

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

LCM = 12681405 = 3 x 3 x 5 x 11 x 11 x 17 x 137

Step 4: Therefore, the least common multiple of 6165 and 6171 is 12681405.