Least Common Multiple of 6384 and 6391

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 6391 the smallest integer that is 5828592 that is divisible by both numbers.

Least Common Multiple (LCM) of 6384 and 6391 is 5828592.

LCM(6384,6391) = 5828592

LCM of 6384 and 6391

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

LCM of:
and

Least Common Multiple of 6384 and 6391

LCM of 6384 and 6391 is 5828592

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6391. First we will calculate the prime factors of 6384 and 6391.

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 6391


7 6391
11 913
83 83
1

Prime factors of 6391 are 7, 11,83. Prime factorization of 6391 in exponential form is:

6391 = 71×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6391.

LCM(6384,6391) = 24×31×71×111×191×831
LCM(6384,6391) = 5828592

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 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1, 7, 11, 77, 83, 581, 913, 6391

Least Common Multiple of 6384 and 6391 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 6391, than apply into the LCM equation.

GCF(6384,6391) = 7
LCM(6384,6391) = ( 6384 × 6391) / 7
LCM(6384,6391) = 40800144 / 7
LCM(6384,6391) = 5828592

Properties of LCM 6384 and 6391

(i) The LCM of 6391 and 6384 is associative

LCM of 6384 and 6391 = LCM of 6391 and 6384

Related Least Common Multiples of 6384

Related Least Common Multiples of 6391

Frequently Asked Questions on LCM of 6384 and 6391

1. What is the LCM of 6384 and 6391?

Answer: LCM of 6384 and 6391 is 5828592.

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 6391?

Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.

4. How to Find the LCM of 6384 and 6391?

Answer:

Least Common Multiple of 6384 and 6391 = 5828592

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 6391

6391 = 7 x 11 x 83

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

LCM = 5828592 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 6384 and 6391 is 5828592.