Least Common Multiple of 9315 and 9323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9315 and 9323 the smallest integer that is 86843745 that is divisible by both numbers.

Least Common Multiple (LCM) of 9315 and 9323 is 86843745.

LCM(9315,9323) = 86843745

LCM of 9315 and 9323

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

LCM of:
and

Least Common Multiple of 9315 and 9323

LCM of 9315 and 9323 is 86843745

Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9323. First we will calculate the prime factors of 9315 and 9323.

Prime Factorization of 9315


3 9315
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 9315 are 3, 5,23. Prime factorization of 9315 in exponential form is:

9315 = 34×51×231

Prime Factorization of 9323


9323 9323
1

Prime factors of 9323 are 9323. Prime factorization of 9323 in exponential form is:

9323 = 93231

Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9323.

LCM(9315,9323) = 34×51×231×93231
LCM(9315,9323) = 86843745

Factors of 9315

List of positive integer factors of 9315 that divides 9315 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315

Factors of 9323

List of positive integer factors of 9323 that divides 9323 without a remainder.

1, 9323

Least Common Multiple of 9315 and 9323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9315 and 9323, than apply into the LCM equation.

GCF(9315,9323) = 1
LCM(9315,9323) = ( 9315 × 9323) / 1
LCM(9315,9323) = 86843745 / 1
LCM(9315,9323) = 86843745

Properties of LCM 9315 and 9323

(i) The LCM of 9323 and 9315 is associative

LCM of 9315 and 9323 = LCM of 9323 and 9315

Related Least Common Multiples of 9315

Related Least Common Multiples of 9323

Frequently Asked Questions on LCM of 9315 and 9323

1. What is the LCM of 9315 and 9323?

Answer: LCM of 9315 and 9323 is 86843745.

2. What are the Factors of 9315?

Answer: Factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315. There are 20 integers that are factors of 9315. The greatest factor of 9315 is 9315.

3. What are the Factors of 9323?

Answer: Factors of 9323 are 1, 9323. There are 2 integers that are factors of 9323. The greatest factor of 9323 is 9323.

4. How to Find the LCM of 9315 and 9323?

Answer:

Least Common Multiple of 9315 and 9323 = 86843745

Step 1: Find the prime factorization of 9315

9315 = 3 x 3 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 9323

9323 = 9323

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

LCM = 86843745 = 3 x 3 x 3 x 3 x 5 x 23 x 9323

Step 4: Therefore, the least common multiple of 9315 and 9323 is 86843745.