Least Common Multiple of 6392 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 6392 and 6400 the smallest integer that is 5113600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6392 and 6400 is 5113600.

LCM(6392,6400) = 5113600

LCM of 6392 and 6400

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

LCM of:
and

Least Common Multiple of 6392 and 6400

LCM of 6392 and 6400 is 5113600

Least common multiple can be found by multiplying the highest exponent prime factors of 6392 and 6400. First we will calculate the prime factors of 6392 and 6400.

Prime Factorization of 6392


2 6392
2 3196
2 1598
17 799
47 47
1

Prime factors of 6392 are 2, 17,47. Prime factorization of 6392 in exponential form is:

6392 = 23×171×471

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 6392 and 6400.

LCM(6392,6400) = 28×52×171×471
LCM(6392,6400) = 5113600

Factors of 6392

List of positive integer factors of 6392 that divides 6392 without a remainder.

1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392

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 6392 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 6392 and 6400, than apply into the LCM equation.

GCF(6392,6400) = 8
LCM(6392,6400) = ( 6392 × 6400) / 8
LCM(6392,6400) = 40908800 / 8
LCM(6392,6400) = 5113600

Properties of LCM 6392 and 6400

(i) The LCM of 6400 and 6392 is associative

LCM of 6392 and 6400 = LCM of 6400 and 6392

Related Least Common Multiples of 6392

Related Least Common Multiples of 6400

Frequently Asked Questions on LCM of 6392 and 6400

1. What is the LCM of 6392 and 6400?

Answer: LCM of 6392 and 6400 is 5113600.

2. What are the Factors of 6392?

Answer: Factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392. There are 16 integers that are factors of 6392. The greatest factor of 6392 is 6392.

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 6392 and 6400?

Answer:

Least Common Multiple of 6392 and 6400 = 5113600

Step 1: Find the prime factorization of 6392

6392 = 2 x 2 x 2 x 17 x 47

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 = 5113600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 6392 and 6400 is 5113600.