Least Common Multiple of 6382 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 6382 and 6390 the smallest integer that is 20390490 that is divisible by both numbers.

Least Common Multiple (LCM) of 6382 and 6390 is 20390490.

LCM(6382,6390) = 20390490

LCM of 6382 and 6390

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

LCM of:
and

Least Common Multiple of 6382 and 6390

LCM of 6382 and 6390 is 20390490

Least common multiple can be found by multiplying the highest exponent prime factors of 6382 and 6390. First we will calculate the prime factors of 6382 and 6390.

Prime Factorization of 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

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 6382 and 6390.

LCM(6382,6390) = 21×32×51×711×31911
LCM(6382,6390) = 20390490

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1, 2, 3191, 6382

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 6382 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 6382 and 6390, than apply into the LCM equation.

GCF(6382,6390) = 2
LCM(6382,6390) = ( 6382 × 6390) / 2
LCM(6382,6390) = 40780980 / 2
LCM(6382,6390) = 20390490

Properties of LCM 6382 and 6390

(i) The LCM of 6390 and 6382 is associative

LCM of 6382 and 6390 = LCM of 6390 and 6382

Related Least Common Multiples of 6382

Related Least Common Multiples of 6390

Frequently Asked Questions on LCM of 6382 and 6390

1. What is the LCM of 6382 and 6390?

Answer: LCM of 6382 and 6390 is 20390490.

2. What are the Factors of 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

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 6382 and 6390?

Answer:

Least Common Multiple of 6382 and 6390 = 20390490

Step 1: Find the prime factorization of 6382

6382 = 2 x 3191

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 = 20390490 = 2 x 3 x 3 x 5 x 71 x 3191

Step 4: Therefore, the least common multiple of 6382 and 6390 is 20390490.