Least Common Multiple of 6380 and 6384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6380 and 6384 the smallest integer that is 10182480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6380 and 6384 is 10182480.

LCM(6380,6384) = 10182480

LCM of 6380 and 6384

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

LCM of:
and

Least Common Multiple of 6380 and 6384

LCM of 6380 and 6384 is 10182480

Least common multiple can be found by multiplying the highest exponent prime factors of 6380 and 6384. First we will calculate the prime factors of 6380 and 6384.

Prime Factorization of 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2, 5, 11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6380 and 6384.

LCM(6380,6384) = 24×31×51×71×111×191×291
LCM(6380,6384) = 10182480

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380

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

Least Common Multiple of 6380 and 6384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6380 and 6384, than apply into the LCM equation.

GCF(6380,6384) = 4
LCM(6380,6384) = ( 6380 × 6384) / 4
LCM(6380,6384) = 40729920 / 4
LCM(6380,6384) = 10182480

Properties of LCM 6380 and 6384

(i) The LCM of 6384 and 6380 is associative

LCM of 6380 and 6384 = LCM of 6384 and 6380

Related Least Common Multiples of 6380

Related Least Common Multiples of 6384

Frequently Asked Questions on LCM of 6380 and 6384

1. What is the LCM of 6380 and 6384?

Answer: LCM of 6380 and 6384 is 10182480.

2. What are the Factors of 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

3. 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.

4. How to Find the LCM of 6380 and 6384?

Answer:

Least Common Multiple of 6380 and 6384 = 10182480

Step 1: Find the prime factorization of 6380

6380 = 2 x 2 x 5 x 11 x 29

Step 2: Find the prime factorization of 6384

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

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

LCM = 10182480 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 6380 and 6384 is 10182480.