Least Common Multiple of 6320 and 6327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6320 and 6327 the smallest integer that is 39986640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6320 and 6327 is 39986640.

LCM(6320,6327) = 39986640

LCM of 6320 and 6327

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

LCM of:
and

Least Common Multiple of 6320 and 6327

LCM of 6320 and 6327 is 39986640

Least common multiple can be found by multiplying the highest exponent prime factors of 6320 and 6327. First we will calculate the prime factors of 6320 and 6327.

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2, 5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6320 and 6327.

LCM(6320,6327) = 24×32×51×191×371×791
LCM(6320,6327) = 39986640

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320

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

Least Common Multiple of 6320 and 6327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6320 and 6327, than apply into the LCM equation.

GCF(6320,6327) = 1
LCM(6320,6327) = ( 6320 × 6327) / 1
LCM(6320,6327) = 39986640 / 1
LCM(6320,6327) = 39986640

Properties of LCM 6320 and 6327

(i) The LCM of 6327 and 6320 is associative

LCM of 6320 and 6327 = LCM of 6327 and 6320

Related Least Common Multiples of 6320

Related Least Common Multiples of 6327

Frequently Asked Questions on LCM of 6320 and 6327

1. What is the LCM of 6320 and 6327?

Answer: LCM of 6320 and 6327 is 39986640.

2. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

3. 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.

4. How to Find the LCM of 6320 and 6327?

Answer:

Least Common Multiple of 6320 and 6327 = 39986640

Step 1: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

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

LCM = 39986640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 37 x 79

Step 4: Therefore, the least common multiple of 6320 and 6327 is 39986640.