Least Common Multiple of 6389 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 6389 and 6394 the smallest integer that is 40851266 that is divisible by both numbers.

Least Common Multiple (LCM) of 6389 and 6394 is 40851266.

LCM(6389,6394) = 40851266

LCM of 6389 and 6394

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

LCM of:
and

Least Common Multiple of 6389 and 6394

LCM of 6389 and 6394 is 40851266

Least common multiple can be found by multiplying the highest exponent prime factors of 6389 and 6394. First we will calculate the prime factors of 6389 and 6394.

Prime Factorization of 6389


6389 6389
1

Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:

6389 = 63891

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 6389 and 6394.

LCM(6389,6394) = 21×231×1391×63891
LCM(6389,6394) = 40851266

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1, 6389

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 6389 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 6389 and 6394, than apply into the LCM equation.

GCF(6389,6394) = 1
LCM(6389,6394) = ( 6389 × 6394) / 1
LCM(6389,6394) = 40851266 / 1
LCM(6389,6394) = 40851266

Properties of LCM 6389 and 6394

(i) The LCM of 6394 and 6389 is associative

LCM of 6389 and 6394 = LCM of 6394 and 6389

Related Least Common Multiples of 6389

Related Least Common Multiples of 6394

Frequently Asked Questions on LCM of 6389 and 6394

1. What is the LCM of 6389 and 6394?

Answer: LCM of 6389 and 6394 is 40851266.

2. What are the Factors of 6389?

Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.

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 6389 and 6394?

Answer:

Least Common Multiple of 6389 and 6394 = 40851266

Step 1: Find the prime factorization of 6389

6389 = 6389

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 = 40851266 = 2 x 23 x 139 x 6389

Step 4: Therefore, the least common multiple of 6389 and 6394 is 40851266.