Least Common Multiple of 6387 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 6387 and 6394 the smallest integer that is 40838478 that is divisible by both numbers.

Least Common Multiple (LCM) of 6387 and 6394 is 40838478.

LCM(6387,6394) = 40838478

LCM of 6387 and 6394

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

LCM of:
and

Least Common Multiple of 6387 and 6394

LCM of 6387 and 6394 is 40838478

Least common multiple can be found by multiplying the highest exponent prime factors of 6387 and 6394. First we will calculate the prime factors of 6387 and 6394.

Prime Factorization of 6387


3 6387
2129 2129
1

Prime factors of 6387 are 3,2129. Prime factorization of 6387 in exponential form is:

6387 = 31×21291

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 6387 and 6394.

LCM(6387,6394) = 21×31×231×1391×21291
LCM(6387,6394) = 40838478

Factors of 6387

List of positive integer factors of 6387 that divides 6387 without a remainder.

1, 3, 2129, 6387

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 6387 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 6387 and 6394, than apply into the LCM equation.

GCF(6387,6394) = 1
LCM(6387,6394) = ( 6387 × 6394) / 1
LCM(6387,6394) = 40838478 / 1
LCM(6387,6394) = 40838478

Properties of LCM 6387 and 6394

(i) The LCM of 6394 and 6387 is associative

LCM of 6387 and 6394 = LCM of 6394 and 6387

Related Least Common Multiples of 6387

Related Least Common Multiples of 6394

Frequently Asked Questions on LCM of 6387 and 6394

1. What is the LCM of 6387 and 6394?

Answer: LCM of 6387 and 6394 is 40838478.

2. What are the Factors of 6387?

Answer: Factors of 6387 are 1, 3, 2129, 6387. There are 4 integers that are factors of 6387. The greatest factor of 6387 is 6387.

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 6387 and 6394?

Answer:

Least Common Multiple of 6387 and 6394 = 40838478

Step 1: Find the prime factorization of 6387

6387 = 3 x 2129

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 = 40838478 = 2 x 3 x 23 x 139 x 2129

Step 4: Therefore, the least common multiple of 6387 and 6394 is 40838478.