Least Common Multiple of 6394 and 6399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6394 and 6399 the smallest integer that is 40915206 that is divisible by both numbers.

Least Common Multiple (LCM) of 6394 and 6399 is 40915206.

LCM(6394,6399) = 40915206

LCM of 6394 and 6399

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

LCM of:
and

Least Common Multiple of 6394 and 6399

LCM of 6394 and 6399 is 40915206

Least common multiple can be found by multiplying the highest exponent prime factors of 6394 and 6399. First we will calculate the prime factors of 6394 and 6399.

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

Prime Factorization of 6399


3 6399
3 2133
3 711
3 237
79 79
1

Prime factors of 6399 are 3,79. Prime factorization of 6399 in exponential form is:

6399 = 34×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6394 and 6399.

LCM(6394,6399) = 21×34×231×791×1391
LCM(6394,6399) = 40915206

Factors of 6394

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

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

Factors of 6399

List of positive integer factors of 6399 that divides 6399 without a remainder.

1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399

Least Common Multiple of 6394 and 6399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6394 and 6399, than apply into the LCM equation.

GCF(6394,6399) = 1
LCM(6394,6399) = ( 6394 × 6399) / 1
LCM(6394,6399) = 40915206 / 1
LCM(6394,6399) = 40915206

Properties of LCM 6394 and 6399

(i) The LCM of 6399 and 6394 is associative

LCM of 6394 and 6399 = LCM of 6399 and 6394

Related Least Common Multiples of 6394

Related Least Common Multiples of 6399

Frequently Asked Questions on LCM of 6394 and 6399

1. What is the LCM of 6394 and 6399?

Answer: LCM of 6394 and 6399 is 40915206.

2. 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.

3. What are the Factors of 6399?

Answer: Factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399. There are 10 integers that are factors of 6399. The greatest factor of 6399 is 6399.

4. How to Find the LCM of 6394 and 6399?

Answer:

Least Common Multiple of 6394 and 6399 = 40915206

Step 1: Find the prime factorization of 6394

6394 = 2 x 23 x 139

Step 2: Find the prime factorization of 6399

6399 = 3 x 3 x 3 x 3 x 79

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

LCM = 40915206 = 2 x 3 x 3 x 3 x 3 x 23 x 79 x 139

Step 4: Therefore, the least common multiple of 6394 and 6399 is 40915206.