Least Common Multiple of 6393 and 6400

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 6400 the smallest integer that is 40915200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6393 and 6400 is 40915200.

LCM(6393,6400) = 40915200

LCM of 6393 and 6400

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

LCM of:
and

Least Common Multiple of 6393 and 6400

LCM of 6393 and 6400 is 40915200

Least common multiple can be found by multiplying the highest exponent prime factors of 6393 and 6400. First we will calculate the prime factors of 6393 and 6400.

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 6400


2 6400
2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 6400 are 2,5. Prime factorization of 6400 in exponential form is:

6400 = 28×52

Now multiplying the highest exponent prime factors to calculate the LCM of 6393 and 6400.

LCM(6393,6400) = 28×31×52×21311
LCM(6393,6400) = 40915200

Factors of 6393

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

1, 3, 2131, 6393

Factors of 6400

List of positive integer factors of 6400 that divides 6400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400

Least Common Multiple of 6393 and 6400 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 6400, than apply into the LCM equation.

GCF(6393,6400) = 1
LCM(6393,6400) = ( 6393 × 6400) / 1
LCM(6393,6400) = 40915200 / 1
LCM(6393,6400) = 40915200

Properties of LCM 6393 and 6400

(i) The LCM of 6400 and 6393 is associative

LCM of 6393 and 6400 = LCM of 6400 and 6393

Related Least Common Multiples of 6393

Related Least Common Multiples of 6400

Frequently Asked Questions on LCM of 6393 and 6400

1. What is the LCM of 6393 and 6400?

Answer: LCM of 6393 and 6400 is 40915200.

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 6400?

Answer: Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400. There are 27 integers that are factors of 6400. The greatest factor of 6400 is 6400.

4. How to Find the LCM of 6393 and 6400?

Answer:

Least Common Multiple of 6393 and 6400 = 40915200

Step 1: Find the prime factorization of 6393

6393 = 3 x 2131

Step 2: Find the prime factorization of 6400

6400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

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

LCM = 40915200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 2131

Step 4: Therefore, the least common multiple of 6393 and 6400 is 40915200.