Least Common Multiple of 9309 and 9315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9309 and 9315 the smallest integer that is 28904445 that is divisible by both numbers.

Least Common Multiple (LCM) of 9309 and 9315 is 28904445.

LCM(9309,9315) = 28904445

LCM of 9309 and 9315

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

LCM of:
and

Least Common Multiple of 9309 and 9315

LCM of 9309 and 9315 is 28904445

Least common multiple can be found by multiplying the highest exponent prime factors of 9309 and 9315. First we will calculate the prime factors of 9309 and 9315.

Prime Factorization of 9309


3 9309
29 3103
107 107
1

Prime factors of 9309 are 3, 29,107. Prime factorization of 9309 in exponential form is:

9309 = 31×291×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9309 and 9315.

LCM(9309,9315) = 34×51×231×291×1071
LCM(9309,9315) = 28904445

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1, 3, 29, 87, 107, 321, 3103, 9309

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

Least Common Multiple of 9309 and 9315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9309 and 9315, than apply into the LCM equation.

GCF(9309,9315) = 3
LCM(9309,9315) = ( 9309 × 9315) / 3
LCM(9309,9315) = 86713335 / 3
LCM(9309,9315) = 28904445

Properties of LCM 9309 and 9315

(i) The LCM of 9315 and 9309 is associative

LCM of 9309 and 9315 = LCM of 9315 and 9309

Related Least Common Multiples of 9309

Related Least Common Multiples of 9315

Frequently Asked Questions on LCM of 9309 and 9315

1. What is the LCM of 9309 and 9315?

Answer: LCM of 9309 and 9315 is 28904445.

2. What are the Factors of 9309?

Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.

3. 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.

4. How to Find the LCM of 9309 and 9315?

Answer:

Least Common Multiple of 9309 and 9315 = 28904445

Step 1: Find the prime factorization of 9309

9309 = 3 x 29 x 107

Step 2: Find the prime factorization of 9315

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

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

LCM = 28904445 = 3 x 3 x 3 x 3 x 5 x 23 x 29 x 107

Step 4: Therefore, the least common multiple of 9309 and 9315 is 28904445.