Least Common Multiple of 6315 and 6321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6315 and 6321 the smallest integer that is 13305705 that is divisible by both numbers.

Least Common Multiple (LCM) of 6315 and 6321 is 13305705.

LCM(6315,6321) = 13305705

LCM of 6315 and 6321

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

LCM of:
and

Least Common Multiple of 6315 and 6321

LCM of 6315 and 6321 is 13305705

Least common multiple can be found by multiplying the highest exponent prime factors of 6315 and 6321. First we will calculate the prime factors of 6315 and 6321.

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

Prime Factorization of 6321


3 6321
7 2107
7 301
43 43
1

Prime factors of 6321 are 3, 7,43. Prime factorization of 6321 in exponential form is:

6321 = 31×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6315 and 6321.

LCM(6315,6321) = 31×51×72×431×4211
LCM(6315,6321) = 13305705

Factors of 6315

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

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

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

Least Common Multiple of 6315 and 6321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6315 and 6321, than apply into the LCM equation.

GCF(6315,6321) = 3
LCM(6315,6321) = ( 6315 × 6321) / 3
LCM(6315,6321) = 39917115 / 3
LCM(6315,6321) = 13305705

Properties of LCM 6315 and 6321

(i) The LCM of 6321 and 6315 is associative

LCM of 6315 and 6321 = LCM of 6321 and 6315

Related Least Common Multiples of 6315

Related Least Common Multiples of 6321

Frequently Asked Questions on LCM of 6315 and 6321

1. What is the LCM of 6315 and 6321?

Answer: LCM of 6315 and 6321 is 13305705.

2. 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.

3. What are the Factors of 6321?

Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.

4. How to Find the LCM of 6315 and 6321?

Answer:

Least Common Multiple of 6315 and 6321 = 13305705

Step 1: Find the prime factorization of 6315

6315 = 3 x 5 x 421

Step 2: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

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

LCM = 13305705 = 3 x 5 x 7 x 7 x 43 x 421

Step 4: Therefore, the least common multiple of 6315 and 6321 is 13305705.