Least Common Multiple of 6384 and 6392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6384 and 6392 the smallest integer that is 5100816 that is divisible by both numbers.

Least Common Multiple (LCM) of 6384 and 6392 is 5100816.

LCM(6384,6392) = 5100816

LCM of 6384 and 6392

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

LCM of:
and

Least Common Multiple of 6384 and 6392

LCM of 6384 and 6392 is 5100816

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6392. First we will calculate the prime factors of 6384 and 6392.

Prime Factorization of 6384


2 6384
2 3192
2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 6384 are 2, 3, 7,19. Prime factorization of 6384 in exponential form is:

6384 = 24×31×71×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6392.

LCM(6384,6392) = 24×31×71×171×191×471
LCM(6384,6392) = 5100816

Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384

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

Least Common Multiple of 6384 and 6392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6384 and 6392, than apply into the LCM equation.

GCF(6384,6392) = 8
LCM(6384,6392) = ( 6384 × 6392) / 8
LCM(6384,6392) = 40806528 / 8
LCM(6384,6392) = 5100816

Properties of LCM 6384 and 6392

(i) The LCM of 6392 and 6384 is associative

LCM of 6384 and 6392 = LCM of 6392 and 6384

Related Least Common Multiples of 6384

Related Least Common Multiples of 6392

Frequently Asked Questions on LCM of 6384 and 6392

1. What is the LCM of 6384 and 6392?

Answer: LCM of 6384 and 6392 is 5100816.

2. What are the Factors of 6384?

Answer: Factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384. There are 40 integers that are factors of 6384. The greatest factor of 6384 is 6384.

3. 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.

4. How to Find the LCM of 6384 and 6392?

Answer:

Least Common Multiple of 6384 and 6392 = 5100816

Step 1: Find the prime factorization of 6384

6384 = 2 x 2 x 2 x 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 6392

6392 = 2 x 2 x 2 x 17 x 47

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

LCM = 5100816 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 47

Step 4: Therefore, the least common multiple of 6384 and 6392 is 5100816.