Least Common Multiple of 6310 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 6310 and 6315 the smallest integer that is 7969530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6310 and 6315 is 7969530.

LCM(6310,6315) = 7969530

LCM of 6310 and 6315

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

LCM of:
and

Least Common Multiple of 6310 and 6315

LCM of 6310 and 6315 is 7969530

Least common multiple can be found by multiplying the highest exponent prime factors of 6310 and 6315. First we will calculate the prime factors of 6310 and 6315.

Prime Factorization of 6310


2 6310
5 3155
631 631
1

Prime factors of 6310 are 2, 5,631. Prime factorization of 6310 in exponential form is:

6310 = 21×51×6311

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 6310 and 6315.

LCM(6310,6315) = 21×31×51×4211×6311
LCM(6310,6315) = 7969530

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1, 2, 5, 10, 631, 1262, 3155, 6310

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 6310 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 6310 and 6315, than apply into the LCM equation.

GCF(6310,6315) = 5
LCM(6310,6315) = ( 6310 × 6315) / 5
LCM(6310,6315) = 39847650 / 5
LCM(6310,6315) = 7969530

Properties of LCM 6310 and 6315

(i) The LCM of 6315 and 6310 is associative

LCM of 6310 and 6315 = LCM of 6315 and 6310

Related Least Common Multiples of 6310

Related Least Common Multiples of 6315

Frequently Asked Questions on LCM of 6310 and 6315

1. What is the LCM of 6310 and 6315?

Answer: LCM of 6310 and 6315 is 7969530.

2. What are the Factors of 6310?

Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.

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 6310 and 6315?

Answer:

Least Common Multiple of 6310 and 6315 = 7969530

Step 1: Find the prime factorization of 6310

6310 = 2 x 5 x 631

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 = 7969530 = 2 x 3 x 5 x 421 x 631

Step 4: Therefore, the least common multiple of 6310 and 6315 is 7969530.