Least Common Multiple of 6390 and 6394

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 6394 the smallest integer that is 20428830 that is divisible by both numbers.

Least Common Multiple (LCM) of 6390 and 6394 is 20428830.

LCM(6390,6394) = 20428830

LCM of 6390 and 6394

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

LCM of:
and

Least Common Multiple of 6390 and 6394

LCM of 6390 and 6394 is 20428830

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6394. First we will calculate the prime factors of 6390 and 6394.

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 6394


2 6394
23 3197
139 139
1

Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:

6394 = 21×231×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6394.

LCM(6390,6394) = 21×32×51×231×711×1391
LCM(6390,6394) = 20428830

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 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1, 2, 23, 46, 139, 278, 3197, 6394

Least Common Multiple of 6390 and 6394 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 6394, than apply into the LCM equation.

GCF(6390,6394) = 2
LCM(6390,6394) = ( 6390 × 6394) / 2
LCM(6390,6394) = 40857660 / 2
LCM(6390,6394) = 20428830

Properties of LCM 6390 and 6394

(i) The LCM of 6394 and 6390 is associative

LCM of 6390 and 6394 = LCM of 6394 and 6390

Related Least Common Multiples of 6390

Related Least Common Multiples of 6394

Frequently Asked Questions on LCM of 6390 and 6394

1. What is the LCM of 6390 and 6394?

Answer: LCM of 6390 and 6394 is 20428830.

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 6394?

Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.

4. How to Find the LCM of 6390 and 6394?

Answer:

Least Common Multiple of 6390 and 6394 = 20428830

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 6394

6394 = 2 x 23 x 139

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

LCM = 20428830 = 2 x 3 x 3 x 5 x 23 x 71 x 139

Step 4: Therefore, the least common multiple of 6390 and 6394 is 20428830.