Least Common Multiple of 9160 and 9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9160 and 9165 the smallest integer that is 16790280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9160 and 9165 is 16790280.

LCM(9160,9165) = 16790280

LCM of 9160 and 9165

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

LCM of:
and

Least Common Multiple of 9160 and 9165

LCM of 9160 and 9165 is 16790280

Least common multiple can be found by multiplying the highest exponent prime factors of 9160 and 9165. First we will calculate the prime factors of 9160 and 9165.

Prime Factorization of 9160


2 9160
2 4580
2 2290
5 1145
229 229
1

Prime factors of 9160 are 2, 5,229. Prime factorization of 9160 in exponential form is:

9160 = 23×51×2291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9160 and 9165.

LCM(9160,9165) = 23×31×51×131×471×2291
LCM(9160,9165) = 16790280

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160

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

Least Common Multiple of 9160 and 9165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9160 and 9165, than apply into the LCM equation.

GCF(9160,9165) = 5
LCM(9160,9165) = ( 9160 × 9165) / 5
LCM(9160,9165) = 83951400 / 5
LCM(9160,9165) = 16790280

Properties of LCM 9160 and 9165

(i) The LCM of 9165 and 9160 is associative

LCM of 9160 and 9165 = LCM of 9165 and 9160

Related Least Common Multiples of 9160

Related Least Common Multiples of 9165

Frequently Asked Questions on LCM of 9160 and 9165

1. What is the LCM of 9160 and 9165?

Answer: LCM of 9160 and 9165 is 16790280.

2. What are the Factors of 9160?

Answer: Factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160. There are 16 integers that are factors of 9160. The greatest factor of 9160 is 9160.

3. 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.

4. How to Find the LCM of 9160 and 9165?

Answer:

Least Common Multiple of 9160 and 9165 = 16790280

Step 1: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 9165

9165 = 3 x 5 x 13 x 47

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

LCM = 16790280 = 2 x 2 x 2 x 3 x 5 x 13 x 47 x 229

Step 4: Therefore, the least common multiple of 9160 and 9165 is 16790280.