Least Common Multiple of 6326 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 6326 and 6327 the smallest integer that is 40024602 that is divisible by both numbers.

Least Common Multiple (LCM) of 6326 and 6327 is 40024602.

LCM(6326,6327) = 40024602

LCM of 6326 and 6327

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

LCM of:
and

Least Common Multiple of 6326 and 6327

LCM of 6326 and 6327 is 40024602

Least common multiple can be found by multiplying the highest exponent prime factors of 6326 and 6327. First we will calculate the prime factors of 6326 and 6327.

Prime Factorization of 6326


2 6326
3163 3163
1

Prime factors of 6326 are 2,3163. Prime factorization of 6326 in exponential form is:

6326 = 21×31631

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 6326 and 6327.

LCM(6326,6327) = 21×32×191×371×31631
LCM(6326,6327) = 40024602

Factors of 6326

List of positive integer factors of 6326 that divides 6326 without a remainder.

1, 2, 3163, 6326

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 6326 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 6326 and 6327, than apply into the LCM equation.

GCF(6326,6327) = 1
LCM(6326,6327) = ( 6326 × 6327) / 1
LCM(6326,6327) = 40024602 / 1
LCM(6326,6327) = 40024602

Properties of LCM 6326 and 6327

(i) The LCM of 6327 and 6326 is associative

LCM of 6326 and 6327 = LCM of 6327 and 6326

Related Least Common Multiples of 6326

Related Least Common Multiples of 6327

Frequently Asked Questions on LCM of 6326 and 6327

1. What is the LCM of 6326 and 6327?

Answer: LCM of 6326 and 6327 is 40024602.

2. What are the Factors of 6326?

Answer: Factors of 6326 are 1, 2, 3163, 6326. There are 4 integers that are factors of 6326. The greatest factor of 6326 is 6326.

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 6326 and 6327?

Answer:

Least Common Multiple of 6326 and 6327 = 40024602

Step 1: Find the prime factorization of 6326

6326 = 2 x 3163

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 = 40024602 = 2 x 3 x 3 x 19 x 37 x 3163

Step 4: Therefore, the least common multiple of 6326 and 6327 is 40024602.