Least Common Multiple of 9311 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 9311 and 9315 the smallest integer that is 86731965 that is divisible by both numbers.

Least Common Multiple (LCM) of 9311 and 9315 is 86731965.

LCM(9311,9315) = 86731965

LCM of 9311 and 9315

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

LCM of:
and

Least Common Multiple of 9311 and 9315

LCM of 9311 and 9315 is 86731965

Least common multiple can be found by multiplying the highest exponent prime factors of 9311 and 9315. First we will calculate the prime factors of 9311 and 9315.

Prime Factorization of 9311


9311 9311
1

Prime factors of 9311 are 9311. Prime factorization of 9311 in exponential form is:

9311 = 93111

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 9311 and 9315.

LCM(9311,9315) = 34×51×231×93111
LCM(9311,9315) = 86731965

Factors of 9311

List of positive integer factors of 9311 that divides 9311 without a remainder.

1, 9311

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 9311 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 9311 and 9315, than apply into the LCM equation.

GCF(9311,9315) = 1
LCM(9311,9315) = ( 9311 × 9315) / 1
LCM(9311,9315) = 86731965 / 1
LCM(9311,9315) = 86731965

Properties of LCM 9311 and 9315

(i) The LCM of 9315 and 9311 is associative

LCM of 9311 and 9315 = LCM of 9315 and 9311

Related Least Common Multiples of 9311

Related Least Common Multiples of 9315

Frequently Asked Questions on LCM of 9311 and 9315

1. What is the LCM of 9311 and 9315?

Answer: LCM of 9311 and 9315 is 86731965.

2. What are the Factors of 9311?

Answer: Factors of 9311 are 1, 9311. There are 2 integers that are factors of 9311. The greatest factor of 9311 is 9311.

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 9311 and 9315?

Answer:

Least Common Multiple of 9311 and 9315 = 86731965

Step 1: Find the prime factorization of 9311

9311 = 9311

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 = 86731965 = 3 x 3 x 3 x 3 x 5 x 23 x 9311

Step 4: Therefore, the least common multiple of 9311 and 9315 is 86731965.