Least Common Multiple of 6384 and 6388

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 6388 the smallest integer that is 10195248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6384 and 6388 is 10195248.

LCM(6384,6388) = 10195248

LCM of 6384 and 6388

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

LCM of:
and

Least Common Multiple of 6384 and 6388

LCM of 6384 and 6388 is 10195248

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6388. First we will calculate the prime factors of 6384 and 6388.

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 6388


2 6388
2 3194
1597 1597
1

Prime factors of 6388 are 2,1597. Prime factorization of 6388 in exponential form is:

6388 = 22×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6388.

LCM(6384,6388) = 24×31×71×191×15971
LCM(6384,6388) = 10195248

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 6388

List of positive integer factors of 6388 that divides 6388 without a remainder.

1, 2, 4, 1597, 3194, 6388

Least Common Multiple of 6384 and 6388 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 6388, than apply into the LCM equation.

GCF(6384,6388) = 4
LCM(6384,6388) = ( 6384 × 6388) / 4
LCM(6384,6388) = 40780992 / 4
LCM(6384,6388) = 10195248

Properties of LCM 6384 and 6388

(i) The LCM of 6388 and 6384 is associative

LCM of 6384 and 6388 = LCM of 6388 and 6384

Related Least Common Multiples of 6384

Related Least Common Multiples of 6388

Frequently Asked Questions on LCM of 6384 and 6388

1. What is the LCM of 6384 and 6388?

Answer: LCM of 6384 and 6388 is 10195248.

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 6388?

Answer: Factors of 6388 are 1, 2, 4, 1597, 3194, 6388. There are 6 integers that are factors of 6388. The greatest factor of 6388 is 6388.

4. How to Find the LCM of 6384 and 6388?

Answer:

Least Common Multiple of 6384 and 6388 = 10195248

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 6388

6388 = 2 x 2 x 1597

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

LCM = 10195248 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 1597

Step 4: Therefore, the least common multiple of 6384 and 6388 is 10195248.