Least Common Multiple of 9315 and 9318

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 9318 the smallest integer that is 28932390 that is divisible by both numbers.

Least Common Multiple (LCM) of 9315 and 9318 is 28932390.

LCM(9315,9318) = 28932390

LCM of 9315 and 9318

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

LCM of:
and

Least Common Multiple of 9315 and 9318

LCM of 9315 and 9318 is 28932390

Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9318. First we will calculate the prime factors of 9315 and 9318.

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 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2, 3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9318.

LCM(9315,9318) = 21×34×51×231×15531
LCM(9315,9318) = 28932390

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 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1, 2, 3, 6, 1553, 3106, 4659, 9318

Least Common Multiple of 9315 and 9318 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 9318, than apply into the LCM equation.

GCF(9315,9318) = 3
LCM(9315,9318) = ( 9315 × 9318) / 3
LCM(9315,9318) = 86797170 / 3
LCM(9315,9318) = 28932390

Properties of LCM 9315 and 9318

(i) The LCM of 9318 and 9315 is associative

LCM of 9315 and 9318 = LCM of 9318 and 9315

Related Least Common Multiples of 9315

Related Least Common Multiples of 9318

Frequently Asked Questions on LCM of 9315 and 9318

1. What is the LCM of 9315 and 9318?

Answer: LCM of 9315 and 9318 is 28932390.

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 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

4. How to Find the LCM of 9315 and 9318?

Answer:

Least Common Multiple of 9315 and 9318 = 28932390

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 9318

9318 = 2 x 3 x 1553

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

LCM = 28932390 = 2 x 3 x 3 x 3 x 3 x 5 x 23 x 1553

Step 4: Therefore, the least common multiple of 9315 and 9318 is 28932390.