Least Common Multiple of 6390 and 6395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6390 and 6395 the smallest integer that is 8172810 that is divisible by both numbers.

Least Common Multiple (LCM) of 6390 and 6395 is 8172810.

LCM(6390,6395) = 8172810

LCM of 6390 and 6395

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

LCM of:
and

Least Common Multiple of 6390 and 6395

LCM of 6390 and 6395 is 8172810

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6395. First we will calculate the prime factors of 6390 and 6395.

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

Prime Factorization of 6395


5 6395
1279 1279
1

Prime factors of 6395 are 5,1279. Prime factorization of 6395 in exponential form is:

6395 = 51×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6395.

LCM(6390,6395) = 21×32×51×711×12791
LCM(6390,6395) = 8172810

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

Factors of 6395

List of positive integer factors of 6395 that divides 6395 without a remainder.

1, 5, 1279, 6395

Least Common Multiple of 6390 and 6395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6390 and 6395, than apply into the LCM equation.

GCF(6390,6395) = 5
LCM(6390,6395) = ( 6390 × 6395) / 5
LCM(6390,6395) = 40864050 / 5
LCM(6390,6395) = 8172810

Properties of LCM 6390 and 6395

(i) The LCM of 6395 and 6390 is associative

LCM of 6390 and 6395 = LCM of 6395 and 6390

Related Least Common Multiples of 6390

Related Least Common Multiples of 6395

Frequently Asked Questions on LCM of 6390 and 6395

1. What is the LCM of 6390 and 6395?

Answer: LCM of 6390 and 6395 is 8172810.

2. 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.

3. What are the Factors of 6395?

Answer: Factors of 6395 are 1, 5, 1279, 6395. There are 4 integers that are factors of 6395. The greatest factor of 6395 is 6395.

4. How to Find the LCM of 6390 and 6395?

Answer:

Least Common Multiple of 6390 and 6395 = 8172810

Step 1: Find the prime factorization of 6390

6390 = 2 x 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 6395

6395 = 5 x 1279

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

LCM = 8172810 = 2 x 3 x 3 x 5 x 71 x 1279

Step 4: Therefore, the least common multiple of 6390 and 6395 is 8172810.