Least Common Multiple of 9315 and 9316

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 9316 the smallest integer that is 86778540 that is divisible by both numbers.

Least Common Multiple (LCM) of 9315 and 9316 is 86778540.

LCM(9315,9316) = 86778540

LCM of 9315 and 9316

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

LCM of:
and

Least Common Multiple of 9315 and 9316

LCM of 9315 and 9316 is 86778540

Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9316. First we will calculate the prime factors of 9315 and 9316.

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 9316


2 9316
2 4658
17 2329
137 137
1

Prime factors of 9316 are 2, 17,137. Prime factorization of 9316 in exponential form is:

9316 = 22×171×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9316.

LCM(9315,9316) = 22×34×51×171×231×1371
LCM(9315,9316) = 86778540

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 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316

Least Common Multiple of 9315 and 9316 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 9316, than apply into the LCM equation.

GCF(9315,9316) = 1
LCM(9315,9316) = ( 9315 × 9316) / 1
LCM(9315,9316) = 86778540 / 1
LCM(9315,9316) = 86778540

Properties of LCM 9315 and 9316

(i) The LCM of 9316 and 9315 is associative

LCM of 9315 and 9316 = LCM of 9316 and 9315

Related Least Common Multiples of 9315

Related Least Common Multiples of 9316

Frequently Asked Questions on LCM of 9315 and 9316

1. What is the LCM of 9315 and 9316?

Answer: LCM of 9315 and 9316 is 86778540.

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 9316?

Answer: Factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316. There are 12 integers that are factors of 9316. The greatest factor of 9316 is 9316.

4. How to Find the LCM of 9315 and 9316?

Answer:

Least Common Multiple of 9315 and 9316 = 86778540

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 9316

9316 = 2 x 2 x 17 x 137

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

LCM = 86778540 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 23 x 137

Step 4: Therefore, the least common multiple of 9315 and 9316 is 86778540.