Least Common Multiple of 9165 and 9170

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 9170 the smallest integer that is 16808610 that is divisible by both numbers.

Least Common Multiple (LCM) of 9165 and 9170 is 16808610.

LCM(9165,9170) = 16808610

LCM of 9165 and 9170

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

LCM of:
and

Least Common Multiple of 9165 and 9170

LCM of 9165 and 9170 is 16808610

Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9170. First we will calculate the prime factors of 9165 and 9170.

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 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9170.

LCM(9165,9170) = 21×31×51×71×131×471×1311
LCM(9165,9170) = 16808610

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 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170

Least Common Multiple of 9165 and 9170 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 9170, than apply into the LCM equation.

GCF(9165,9170) = 5
LCM(9165,9170) = ( 9165 × 9170) / 5
LCM(9165,9170) = 84043050 / 5
LCM(9165,9170) = 16808610

Properties of LCM 9165 and 9170

(i) The LCM of 9170 and 9165 is associative

LCM of 9165 and 9170 = LCM of 9170 and 9165

Related Least Common Multiples of 9165

Related Least Common Multiples of 9170

Frequently Asked Questions on LCM of 9165 and 9170

1. What is the LCM of 9165 and 9170?

Answer: LCM of 9165 and 9170 is 16808610.

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 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

4. How to Find the LCM of 9165 and 9170?

Answer:

Least Common Multiple of 9165 and 9170 = 16808610

Step 1: Find the prime factorization of 9165

9165 = 3 x 5 x 13 x 47

Step 2: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

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

LCM = 16808610 = 2 x 3 x 5 x 7 x 13 x 47 x 131

Step 4: Therefore, the least common multiple of 9165 and 9170 is 16808610.