Least Common Multiple of 6311 and 6315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6311 and 6315 the smallest integer that is 39853965 that is divisible by both numbers.

Least Common Multiple (LCM) of 6311 and 6315 is 39853965.

LCM(6311,6315) = 39853965

LCM of 6311 and 6315

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

LCM of:
and

Least Common Multiple of 6311 and 6315

LCM of 6311 and 6315 is 39853965

Least common multiple can be found by multiplying the highest exponent prime factors of 6311 and 6315. First we will calculate the prime factors of 6311 and 6315.

Prime Factorization of 6311


6311 6311
1

Prime factors of 6311 are 6311. Prime factorization of 6311 in exponential form is:

6311 = 63111

Prime Factorization of 6315


3 6315
5 2105
421 421
1

Prime factors of 6315 are 3, 5,421. Prime factorization of 6315 in exponential form is:

6315 = 31×51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 6311 and 6315.

LCM(6311,6315) = 31×51×4211×63111
LCM(6311,6315) = 39853965

Factors of 6311

List of positive integer factors of 6311 that divides 6311 without a remainder.

1, 6311

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1, 3, 5, 15, 421, 1263, 2105, 6315

Least Common Multiple of 6311 and 6315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6311 and 6315, than apply into the LCM equation.

GCF(6311,6315) = 1
LCM(6311,6315) = ( 6311 × 6315) / 1
LCM(6311,6315) = 39853965 / 1
LCM(6311,6315) = 39853965

Properties of LCM 6311 and 6315

(i) The LCM of 6315 and 6311 is associative

LCM of 6311 and 6315 = LCM of 6315 and 6311

Related Least Common Multiples of 6311

Related Least Common Multiples of 6315

Frequently Asked Questions on LCM of 6311 and 6315

1. What is the LCM of 6311 and 6315?

Answer: LCM of 6311 and 6315 is 39853965.

2. What are the Factors of 6311?

Answer: Factors of 6311 are 1, 6311. There are 2 integers that are factors of 6311. The greatest factor of 6311 is 6311.

3. What are the Factors of 6315?

Answer: Factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315. There are 8 integers that are factors of 6315. The greatest factor of 6315 is 6315.

4. How to Find the LCM of 6311 and 6315?

Answer:

Least Common Multiple of 6311 and 6315 = 39853965

Step 1: Find the prime factorization of 6311

6311 = 6311

Step 2: Find the prime factorization of 6315

6315 = 3 x 5 x 421

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

LCM = 39853965 = 3 x 5 x 421 x 6311

Step 4: Therefore, the least common multiple of 6311 and 6315 is 39853965.