Least Common Multiple of 9315 and 9319

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 9319 the smallest integer that is 86806485 that is divisible by both numbers.

Least Common Multiple (LCM) of 9315 and 9319 is 86806485.

LCM(9315,9319) = 86806485

LCM of 9315 and 9319

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

LCM of:
and

Least Common Multiple of 9315 and 9319

LCM of 9315 and 9319 is 86806485

Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9319. First we will calculate the prime factors of 9315 and 9319.

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 9319


9319 9319
1

Prime factors of 9319 are 9319. Prime factorization of 9319 in exponential form is:

9319 = 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9319.

LCM(9315,9319) = 34×51×231×93191
LCM(9315,9319) = 86806485

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 9319

List of positive integer factors of 9319 that divides 9319 without a remainder.

1, 9319

Least Common Multiple of 9315 and 9319 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 9319, than apply into the LCM equation.

GCF(9315,9319) = 1
LCM(9315,9319) = ( 9315 × 9319) / 1
LCM(9315,9319) = 86806485 / 1
LCM(9315,9319) = 86806485

Properties of LCM 9315 and 9319

(i) The LCM of 9319 and 9315 is associative

LCM of 9315 and 9319 = LCM of 9319 and 9315

Related Least Common Multiples of 9315

Related Least Common Multiples of 9319

Frequently Asked Questions on LCM of 9315 and 9319

1. What is the LCM of 9315 and 9319?

Answer: LCM of 9315 and 9319 is 86806485.

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 9319?

Answer: Factors of 9319 are 1, 9319. There are 2 integers that are factors of 9319. The greatest factor of 9319 is 9319.

4. How to Find the LCM of 9315 and 9319?

Answer:

Least Common Multiple of 9315 and 9319 = 86806485

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 9319

9319 = 9319

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

LCM = 86806485 = 3 x 3 x 3 x 3 x 5 x 23 x 9319

Step 4: Therefore, the least common multiple of 9315 and 9319 is 86806485.