Least Common Multiple of 9165 and 9171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9165 and 9171 the smallest integer that is 28017405 that is divisible by both numbers.

Least Common Multiple (LCM) of 9165 and 9171 is 28017405.

LCM(9165,9171) = 28017405

LCM of 9165 and 9171

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

LCM of:
and

Least Common Multiple of 9165 and 9171

LCM of 9165 and 9171 is 28017405

Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9171. First we will calculate the prime factors of 9165 and 9171.

Prime Factorization of 9165


3 9165
5 3055
13 611
47 47
1

Prime factors of 9165 are 3, 5, 13,47. Prime factorization of 9165 in exponential form is:

9165 = 31×51×131×471

Prime Factorization of 9171


3 9171
3 3057
1019 1019
1

Prime factors of 9171 are 3,1019. Prime factorization of 9171 in exponential form is:

9171 = 32×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9171.

LCM(9165,9171) = 32×51×131×471×10191
LCM(9165,9171) = 28017405

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165

Factors of 9171

List of positive integer factors of 9171 that divides 9171 without a remainder.

1, 3, 9, 1019, 3057, 9171

Least Common Multiple of 9165 and 9171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9165 and 9171, than apply into the LCM equation.

GCF(9165,9171) = 3
LCM(9165,9171) = ( 9165 × 9171) / 3
LCM(9165,9171) = 84052215 / 3
LCM(9165,9171) = 28017405

Properties of LCM 9165 and 9171

(i) The LCM of 9171 and 9165 is associative

LCM of 9165 and 9171 = LCM of 9171 and 9165

Related Least Common Multiples of 9165

Related Least Common Multiples of 9171

Frequently Asked Questions on LCM of 9165 and 9171

1. What is the LCM of 9165 and 9171?

Answer: LCM of 9165 and 9171 is 28017405.

2. What are the Factors of 9165?

Answer: Factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165. There are 16 integers that are factors of 9165. The greatest factor of 9165 is 9165.

3. What are the Factors of 9171?

Answer: Factors of 9171 are 1, 3, 9, 1019, 3057, 9171. There are 6 integers that are factors of 9171. The greatest factor of 9171 is 9171.

4. How to Find the LCM of 9165 and 9171?

Answer:

Least Common Multiple of 9165 and 9171 = 28017405

Step 1: Find the prime factorization of 9165

9165 = 3 x 5 x 13 x 47

Step 2: Find the prime factorization of 9171

9171 = 3 x 3 x 1019

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

LCM = 28017405 = 3 x 3 x 5 x 13 x 47 x 1019

Step 4: Therefore, the least common multiple of 9165 and 9171 is 28017405.