Least Common Multiple of 9165 and 9172

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 9172 the smallest integer that is 84061380 that is divisible by both numbers.

Least Common Multiple (LCM) of 9165 and 9172 is 84061380.

LCM(9165,9172) = 84061380

LCM of 9165 and 9172

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

LCM of:
and

Least Common Multiple of 9165 and 9172

LCM of 9165 and 9172 is 84061380

Least common multiple can be found by multiplying the highest exponent prime factors of 9165 and 9172. First we will calculate the prime factors of 9165 and 9172.

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 9172


2 9172
2 4586
2293 2293
1

Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:

9172 = 22×22931

Now multiplying the highest exponent prime factors to calculate the LCM of 9165 and 9172.

LCM(9165,9172) = 22×31×51×131×471×22931
LCM(9165,9172) = 84061380

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 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1, 2, 4, 2293, 4586, 9172

Least Common Multiple of 9165 and 9172 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 9172, than apply into the LCM equation.

GCF(9165,9172) = 1
LCM(9165,9172) = ( 9165 × 9172) / 1
LCM(9165,9172) = 84061380 / 1
LCM(9165,9172) = 84061380

Properties of LCM 9165 and 9172

(i) The LCM of 9172 and 9165 is associative

LCM of 9165 and 9172 = LCM of 9172 and 9165

Related Least Common Multiples of 9165

Related Least Common Multiples of 9172

Frequently Asked Questions on LCM of 9165 and 9172

1. What is the LCM of 9165 and 9172?

Answer: LCM of 9165 and 9172 is 84061380.

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 9172?

Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.

4. How to Find the LCM of 9165 and 9172?

Answer:

Least Common Multiple of 9165 and 9172 = 84061380

Step 1: Find the prime factorization of 9165

9165 = 3 x 5 x 13 x 47

Step 2: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

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

LCM = 84061380 = 2 x 2 x 3 x 5 x 13 x 47 x 2293

Step 4: Therefore, the least common multiple of 9165 and 9172 is 84061380.