Least Common Multiple of 9159 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 9159 and 9165 the smallest integer that is 27980745 that is divisible by both numbers.

Least Common Multiple (LCM) of 9159 and 9165 is 27980745.

LCM(9159,9165) = 27980745

LCM of 9159 and 9165

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

LCM of:
and

Least Common Multiple of 9159 and 9165

LCM of 9159 and 9165 is 27980745

Least common multiple can be found by multiplying the highest exponent prime factors of 9159 and 9165. First we will calculate the prime factors of 9159 and 9165.

Prime Factorization of 9159


3 9159
43 3053
71 71
1

Prime factors of 9159 are 3, 43,71. Prime factorization of 9159 in exponential form is:

9159 = 31×431×711

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 9159 and 9165.

LCM(9159,9165) = 31×51×131×431×471×711
LCM(9159,9165) = 27980745

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1, 3, 43, 71, 129, 213, 3053, 9159

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 9159 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 9159 and 9165, than apply into the LCM equation.

GCF(9159,9165) = 3
LCM(9159,9165) = ( 9159 × 9165) / 3
LCM(9159,9165) = 83942235 / 3
LCM(9159,9165) = 27980745

Properties of LCM 9159 and 9165

(i) The LCM of 9165 and 9159 is associative

LCM of 9159 and 9165 = LCM of 9165 and 9159

Related Least Common Multiples of 9159

Related Least Common Multiples of 9165

Frequently Asked Questions on LCM of 9159 and 9165

1. What is the LCM of 9159 and 9165?

Answer: LCM of 9159 and 9165 is 27980745.

2. What are the Factors of 9159?

Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.

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 9159 and 9165?

Answer:

Least Common Multiple of 9159 and 9165 = 27980745

Step 1: Find the prime factorization of 9159

9159 = 3 x 43 x 71

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 = 27980745 = 3 x 5 x 13 x 43 x 47 x 71

Step 4: Therefore, the least common multiple of 9159 and 9165 is 27980745.