Least Common Multiple of 6309 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 6309 and 6315 the smallest integer that is 13280445 that is divisible by both numbers.

Least Common Multiple (LCM) of 6309 and 6315 is 13280445.

LCM(6309,6315) = 13280445

LCM of 6309 and 6315

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

LCM of:
and

Least Common Multiple of 6309 and 6315

LCM of 6309 and 6315 is 13280445

Least common multiple can be found by multiplying the highest exponent prime factors of 6309 and 6315. First we will calculate the prime factors of 6309 and 6315.

Prime Factorization of 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

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 6309 and 6315.

LCM(6309,6315) = 32×51×4211×7011
LCM(6309,6315) = 13280445

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1, 3, 9, 701, 2103, 6309

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 6309 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 6309 and 6315, than apply into the LCM equation.

GCF(6309,6315) = 3
LCM(6309,6315) = ( 6309 × 6315) / 3
LCM(6309,6315) = 39841335 / 3
LCM(6309,6315) = 13280445

Properties of LCM 6309 and 6315

(i) The LCM of 6315 and 6309 is associative

LCM of 6309 and 6315 = LCM of 6315 and 6309

Related Least Common Multiples of 6309

Related Least Common Multiples of 6315

Frequently Asked Questions on LCM of 6309 and 6315

1. What is the LCM of 6309 and 6315?

Answer: LCM of 6309 and 6315 is 13280445.

2. What are the Factors of 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

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 6309 and 6315?

Answer:

Least Common Multiple of 6309 and 6315 = 13280445

Step 1: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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 = 13280445 = 3 x 3 x 5 x 421 x 701

Step 4: Therefore, the least common multiple of 6309 and 6315 is 13280445.