Least Common Multiple of 6327 and 6332

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 6332 the smallest integer that is 40062564 that is divisible by both numbers.

Least Common Multiple (LCM) of 6327 and 6332 is 40062564.

LCM(6327,6332) = 40062564

LCM of 6327 and 6332

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

LCM of:
and

Least Common Multiple of 6327 and 6332

LCM of 6327 and 6332 is 40062564

Least common multiple can be found by multiplying the highest exponent prime factors of 6327 and 6332. First we will calculate the prime factors of 6327 and 6332.

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 6332


2 6332
2 3166
1583 1583
1

Prime factors of 6332 are 2,1583. Prime factorization of 6332 in exponential form is:

6332 = 22×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 6327 and 6332.

LCM(6327,6332) = 22×32×191×371×15831
LCM(6327,6332) = 40062564

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 6332

List of positive integer factors of 6332 that divides 6332 without a remainder.

1, 2, 4, 1583, 3166, 6332

Least Common Multiple of 6327 and 6332 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 6332, than apply into the LCM equation.

GCF(6327,6332) = 1
LCM(6327,6332) = ( 6327 × 6332) / 1
LCM(6327,6332) = 40062564 / 1
LCM(6327,6332) = 40062564

Properties of LCM 6327 and 6332

(i) The LCM of 6332 and 6327 is associative

LCM of 6327 and 6332 = LCM of 6332 and 6327

Related Least Common Multiples of 6327

Related Least Common Multiples of 6332

Frequently Asked Questions on LCM of 6327 and 6332

1. What is the LCM of 6327 and 6332?

Answer: LCM of 6327 and 6332 is 40062564.

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 6332?

Answer: Factors of 6332 are 1, 2, 4, 1583, 3166, 6332. There are 6 integers that are factors of 6332. The greatest factor of 6332 is 6332.

4. How to Find the LCM of 6327 and 6332?

Answer:

Least Common Multiple of 6327 and 6332 = 40062564

Step 1: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

Step 2: Find the prime factorization of 6332

6332 = 2 x 2 x 1583

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

LCM = 40062564 = 2 x 2 x 3 x 3 x 19 x 37 x 1583

Step 4: Therefore, the least common multiple of 6327 and 6332 is 40062564.