Least Common Multiple of 6364 and 6367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6364 and 6367 the smallest integer that is 40519588 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6367 is 40519588.

LCM(6364,6367) = 40519588

LCM of 6364 and 6367

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

LCM of:
and

Least Common Multiple of 6364 and 6367

LCM of 6364 and 6367 is 40519588

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6367. First we will calculate the prime factors of 6364 and 6367.

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2, 37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

Prime Factorization of 6367


6367 6367
1

Prime factors of 6367 are 6367. Prime factorization of 6367 in exponential form is:

6367 = 63671

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6367.

LCM(6364,6367) = 22×371×431×63671
LCM(6364,6367) = 40519588

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1, 6367

Least Common Multiple of 6364 and 6367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6367, than apply into the LCM equation.

GCF(6364,6367) = 1
LCM(6364,6367) = ( 6364 × 6367) / 1
LCM(6364,6367) = 40519588 / 1
LCM(6364,6367) = 40519588

Properties of LCM 6364 and 6367

(i) The LCM of 6367 and 6364 is associative

LCM of 6364 and 6367 = LCM of 6367 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6367

Frequently Asked Questions on LCM of 6364 and 6367

1. What is the LCM of 6364 and 6367?

Answer: LCM of 6364 and 6367 is 40519588.

2. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

3. What are the Factors of 6367?

Answer: Factors of 6367 are 1, 6367. There are 2 integers that are factors of 6367. The greatest factor of 6367 is 6367.

4. How to Find the LCM of 6364 and 6367?

Answer:

Least Common Multiple of 6364 and 6367 = 40519588

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6367

6367 = 6367

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

LCM = 40519588 = 2 x 2 x 37 x 43 x 6367

Step 4: Therefore, the least common multiple of 6364 and 6367 is 40519588.