Least Common Multiple of 315 and 317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315 and 317 the smallest integer that is 99855 that is divisible by both numbers.

Least Common Multiple (LCM) of 315 and 317 is 99855.

LCM(315,317) = 99855

LCM of 315 and 317

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

LCM of:
and

Least Common Multiple of 315 and 317

LCM of 315 and 317 is 99855

Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 317. First we will calculate the prime factors of 315 and 317.

Prime Factorization of 315


3 315
3 105
5 35
7 7
1

Prime factors of 315 are 3, 5,7. Prime factorization of 315 in exponential form is:

315 = 32×51×71

Prime Factorization of 317


317 317
1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 317.

LCM(315,317) = 32×51×71×3171
LCM(315,317) = 99855

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1, 317

Least Common Multiple of 315 and 317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 317, than apply into the LCM equation.

GCF(315,317) = 1
LCM(315,317) = ( 315 × 317) / 1
LCM(315,317) = 99855 / 1
LCM(315,317) = 99855

Properties of LCM 315 and 317

(i) The LCM of 317 and 315 is associative

LCM of 315 and 317 = LCM of 317 and 315

Related Least Common Multiples of 315

Related Least Common Multiples of 317

Frequently Asked Questions on LCM of 315 and 317

1. What is the LCM of 315 and 317?

Answer: LCM of 315 and 317 is 99855.

2. What are the Factors of 315?

Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.

3. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

4. How to Find the LCM of 315 and 317?

Answer:

Least Common Multiple of 315 and 317 = 99855

Step 1: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 317

317 = 317

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

LCM = 99855 = 3 x 3 x 5 x 7 x 317

Step 4: Therefore, the least common multiple of 315 and 317 is 99855.