Least Common Multiple of 311 and 315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311 and 315 the smallest integer that is 97965 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 315 is 97965.

LCM(311,315) = 97965

LCM of 311 and 315

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

LCM of:
and

Least Common Multiple of 311 and 315

LCM of 311 and 315 is 97965

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 315. First we will calculate the prime factors of 311 and 315.

Prime Factorization of 311


311 311
1

Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:

311 = 3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 315.

LCM(311,315) = 32×51×71×3111
LCM(311,315) = 97965

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1, 311

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

Least Common Multiple of 311 and 315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311 and 315, than apply into the LCM equation.

GCF(311,315) = 1
LCM(311,315) = ( 311 × 315) / 1
LCM(311,315) = 97965 / 1
LCM(311,315) = 97965

Properties of LCM 311 and 315

(i) The LCM of 315 and 311 is associative

LCM of 311 and 315 = LCM of 315 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 315

Frequently Asked Questions on LCM of 311 and 315

1. What is the LCM of 311 and 315?

Answer: LCM of 311 and 315 is 97965.

2. What are the Factors of 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

3. 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.

4. How to Find the LCM of 311 and 315?

Answer:

Least Common Multiple of 311 and 315 = 97965

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

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

LCM = 97965 = 3 x 3 x 5 x 7 x 311

Step 4: Therefore, the least common multiple of 311 and 315 is 97965.