Least Common Multiple of 6327 and 6331

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 6331 the smallest integer that is 40056237 that is divisible by both numbers.

Least Common Multiple (LCM) of 6327 and 6331 is 40056237.

LCM(6327,6331) = 40056237

LCM of 6327 and 6331

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

LCM of:
and

Least Common Multiple of 6327 and 6331

LCM of 6327 and 6331 is 40056237

Least common multiple can be found by multiplying the highest exponent prime factors of 6327 and 6331. First we will calculate the prime factors of 6327 and 6331.

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 6331


13 6331
487 487
1

Prime factors of 6331 are 13,487. Prime factorization of 6331 in exponential form is:

6331 = 131×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 6327 and 6331.

LCM(6327,6331) = 32×131×191×371×4871
LCM(6327,6331) = 40056237

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 6331

List of positive integer factors of 6331 that divides 6331 without a remainder.

1, 13, 487, 6331

Least Common Multiple of 6327 and 6331 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 6331, than apply into the LCM equation.

GCF(6327,6331) = 1
LCM(6327,6331) = ( 6327 × 6331) / 1
LCM(6327,6331) = 40056237 / 1
LCM(6327,6331) = 40056237

Properties of LCM 6327 and 6331

(i) The LCM of 6331 and 6327 is associative

LCM of 6327 and 6331 = LCM of 6331 and 6327

Related Least Common Multiples of 6327

Related Least Common Multiples of 6331

Frequently Asked Questions on LCM of 6327 and 6331

1. What is the LCM of 6327 and 6331?

Answer: LCM of 6327 and 6331 is 40056237.

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 6331?

Answer: Factors of 6331 are 1, 13, 487, 6331. There are 4 integers that are factors of 6331. The greatest factor of 6331 is 6331.

4. How to Find the LCM of 6327 and 6331?

Answer:

Least Common Multiple of 6327 and 6331 = 40056237

Step 1: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

Step 2: Find the prime factorization of 6331

6331 = 13 x 487

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

LCM = 40056237 = 3 x 3 x 13 x 19 x 37 x 487

Step 4: Therefore, the least common multiple of 6327 and 6331 is 40056237.