Least Common Multiple of 6393 and 6399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6393 and 6399 the smallest integer that is 13636269 that is divisible by both numbers.

Least Common Multiple (LCM) of 6393 and 6399 is 13636269.

LCM(6393,6399) = 13636269

LCM of 6393 and 6399

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

LCM of:
and

Least Common Multiple of 6393 and 6399

LCM of 6393 and 6399 is 13636269

Least common multiple can be found by multiplying the highest exponent prime factors of 6393 and 6399. First we will calculate the prime factors of 6393 and 6399.

Prime Factorization of 6393


3 6393
2131 2131
1

Prime factors of 6393 are 3,2131. Prime factorization of 6393 in exponential form is:

6393 = 31×21311

Prime Factorization of 6399


3 6399
3 2133
3 711
3 237
79 79
1

Prime factors of 6399 are 3,79. Prime factorization of 6399 in exponential form is:

6399 = 34×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6393 and 6399.

LCM(6393,6399) = 34×791×21311
LCM(6393,6399) = 13636269

Factors of 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1, 3, 2131, 6393

Factors of 6399

List of positive integer factors of 6399 that divides 6399 without a remainder.

1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399

Least Common Multiple of 6393 and 6399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6393 and 6399, than apply into the LCM equation.

GCF(6393,6399) = 3
LCM(6393,6399) = ( 6393 × 6399) / 3
LCM(6393,6399) = 40908807 / 3
LCM(6393,6399) = 13636269

Properties of LCM 6393 and 6399

(i) The LCM of 6399 and 6393 is associative

LCM of 6393 and 6399 = LCM of 6399 and 6393

Related Least Common Multiples of 6393

Related Least Common Multiples of 6399

Frequently Asked Questions on LCM of 6393 and 6399

1. What is the LCM of 6393 and 6399?

Answer: LCM of 6393 and 6399 is 13636269.

2. What are the Factors of 6393?

Answer: Factors of 6393 are 1, 3, 2131, 6393. There are 4 integers that are factors of 6393. The greatest factor of 6393 is 6393.

3. What are the Factors of 6399?

Answer: Factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399. There are 10 integers that are factors of 6399. The greatest factor of 6399 is 6399.

4. How to Find the LCM of 6393 and 6399?

Answer:

Least Common Multiple of 6393 and 6399 = 13636269

Step 1: Find the prime factorization of 6393

6393 = 3 x 2131

Step 2: Find the prime factorization of 6399

6399 = 3 x 3 x 3 x 3 x 79

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

LCM = 13636269 = 3 x 3 x 3 x 3 x 79 x 2131

Step 4: Therefore, the least common multiple of 6393 and 6399 is 13636269.