Least Common Multiple of 6384 and 6390

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 6390 the smallest integer that is 6798960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6384 and 6390 is 6798960.

LCM(6384,6390) = 6798960

LCM of 6384 and 6390

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

LCM of:
and

Least Common Multiple of 6384 and 6390

LCM of 6384 and 6390 is 6798960

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6390. First we will calculate the prime factors of 6384 and 6390.

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 6390


2 6390
3 3195
3 1065
5 355
71 71
1

Prime factors of 6390 are 2, 3, 5,71. Prime factorization of 6390 in exponential form is:

6390 = 21×32×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6390.

LCM(6384,6390) = 24×32×51×71×191×711
LCM(6384,6390) = 6798960

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 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390

Least Common Multiple of 6384 and 6390 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 6390, than apply into the LCM equation.

GCF(6384,6390) = 6
LCM(6384,6390) = ( 6384 × 6390) / 6
LCM(6384,6390) = 40793760 / 6
LCM(6384,6390) = 6798960

Properties of LCM 6384 and 6390

(i) The LCM of 6390 and 6384 is associative

LCM of 6384 and 6390 = LCM of 6390 and 6384

Related Least Common Multiples of 6384

Related Least Common Multiples of 6390

Frequently Asked Questions on LCM of 6384 and 6390

1. What is the LCM of 6384 and 6390?

Answer: LCM of 6384 and 6390 is 6798960.

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 6390?

Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.

4. How to Find the LCM of 6384 and 6390?

Answer:

Least Common Multiple of 6384 and 6390 = 6798960

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 6390

6390 = 2 x 3 x 3 x 5 x 71

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

LCM = 6798960 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 71

Step 4: Therefore, the least common multiple of 6384 and 6390 is 6798960.