Least Common Multiple of 6384 and 6389

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 6389 the smallest integer that is 40787376 that is divisible by both numbers.

Least Common Multiple (LCM) of 6384 and 6389 is 40787376.

LCM(6384,6389) = 40787376

LCM of 6384 and 6389

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

LCM of:
and

Least Common Multiple of 6384 and 6389

LCM of 6384 and 6389 is 40787376

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6389. First we will calculate the prime factors of 6384 and 6389.

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 6389


6389 6389
1

Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:

6389 = 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6389.

LCM(6384,6389) = 24×31×71×191×63891
LCM(6384,6389) = 40787376

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 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1, 6389

Least Common Multiple of 6384 and 6389 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 6389, than apply into the LCM equation.

GCF(6384,6389) = 1
LCM(6384,6389) = ( 6384 × 6389) / 1
LCM(6384,6389) = 40787376 / 1
LCM(6384,6389) = 40787376

Properties of LCM 6384 and 6389

(i) The LCM of 6389 and 6384 is associative

LCM of 6384 and 6389 = LCM of 6389 and 6384

Related Least Common Multiples of 6384

Related Least Common Multiples of 6389

Frequently Asked Questions on LCM of 6384 and 6389

1. What is the LCM of 6384 and 6389?

Answer: LCM of 6384 and 6389 is 40787376.

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 6389?

Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.

4. How to Find the LCM of 6384 and 6389?

Answer:

Least Common Multiple of 6384 and 6389 = 40787376

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 6389

6389 = 6389

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

LCM = 40787376 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 6389

Step 4: Therefore, the least common multiple of 6384 and 6389 is 40787376.