Least Common Multiple of 6327 and 6333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6327 and 6333 the smallest integer that is 13356297 that is divisible by both numbers.

Least Common Multiple (LCM) of 6327 and 6333 is 13356297.

LCM(6327,6333) = 13356297

LCM of 6327 and 6333

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

LCM of:
and

Least Common Multiple of 6327 and 6333

LCM of 6327 and 6333 is 13356297

Least common multiple can be found by multiplying the highest exponent prime factors of 6327 and 6333. First we will calculate the prime factors of 6327 and 6333.

Prime Factorization of 6327


3 6327
3 2109
19 703
37 37
1

Prime factors of 6327 are 3, 19,37. Prime factorization of 6327 in exponential form is:

6327 = 32×191×371

Prime Factorization of 6333


3 6333
2111 2111
1

Prime factors of 6333 are 3,2111. Prime factorization of 6333 in exponential form is:

6333 = 31×21111

Now multiplying the highest exponent prime factors to calculate the LCM of 6327 and 6333.

LCM(6327,6333) = 32×191×371×21111
LCM(6327,6333) = 13356297

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327

Factors of 6333

List of positive integer factors of 6333 that divides 6333 without a remainder.

1, 3, 2111, 6333

Least Common Multiple of 6327 and 6333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6327 and 6333, than apply into the LCM equation.

GCF(6327,6333) = 3
LCM(6327,6333) = ( 6327 × 6333) / 3
LCM(6327,6333) = 40068891 / 3
LCM(6327,6333) = 13356297

Properties of LCM 6327 and 6333

(i) The LCM of 6333 and 6327 is associative

LCM of 6327 and 6333 = LCM of 6333 and 6327

Related Least Common Multiples of 6327

Related Least Common Multiples of 6333

Frequently Asked Questions on LCM of 6327 and 6333

1. What is the LCM of 6327 and 6333?

Answer: LCM of 6327 and 6333 is 13356297.

2. What are the Factors of 6327?

Answer: Factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327. There are 12 integers that are factors of 6327. The greatest factor of 6327 is 6327.

3. What are the Factors of 6333?

Answer: Factors of 6333 are 1, 3, 2111, 6333. There are 4 integers that are factors of 6333. The greatest factor of 6333 is 6333.

4. How to Find the LCM of 6327 and 6333?

Answer:

Least Common Multiple of 6327 and 6333 = 13356297

Step 1: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

Step 2: Find the prime factorization of 6333

6333 = 3 x 2111

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

LCM = 13356297 = 3 x 3 x 19 x 37 x 2111

Step 4: Therefore, the least common multiple of 6327 and 6333 is 13356297.