Least Common Multiple of 6367 and 6372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6367 and 6372 the smallest integer that is 40570524 that is divisible by both numbers.

Least Common Multiple (LCM) of 6367 and 6372 is 40570524.

LCM(6367,6372) = 40570524

LCM of 6367 and 6372

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

LCM of:
and

Least Common Multiple of 6367 and 6372

LCM of 6367 and 6372 is 40570524

Least common multiple can be found by multiplying the highest exponent prime factors of 6367 and 6372. First we will calculate the prime factors of 6367 and 6372.

Prime Factorization of 6367


6367 6367
1

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

6367 = 63671

Prime Factorization of 6372


2 6372
2 3186
3 1593
3 531
3 177
59 59
1

Prime factors of 6372 are 2, 3,59. Prime factorization of 6372 in exponential form is:

6372 = 22×33×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6367 and 6372.

LCM(6367,6372) = 22×33×591×63671
LCM(6367,6372) = 40570524

Factors of 6367

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

1, 6367

Factors of 6372

List of positive integer factors of 6372 that divides 6372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372

Least Common Multiple of 6367 and 6372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6367 and 6372, than apply into the LCM equation.

GCF(6367,6372) = 1
LCM(6367,6372) = ( 6367 × 6372) / 1
LCM(6367,6372) = 40570524 / 1
LCM(6367,6372) = 40570524

Properties of LCM 6367 and 6372

(i) The LCM of 6372 and 6367 is associative

LCM of 6367 and 6372 = LCM of 6372 and 6367

Related Least Common Multiples of 6367

Related Least Common Multiples of 6372

Frequently Asked Questions on LCM of 6367 and 6372

1. What is the LCM of 6367 and 6372?

Answer: LCM of 6367 and 6372 is 40570524.

2. 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.

3. What are the Factors of 6372?

Answer: Factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372. There are 24 integers that are factors of 6372. The greatest factor of 6372 is 6372.

4. How to Find the LCM of 6367 and 6372?

Answer:

Least Common Multiple of 6367 and 6372 = 40570524

Step 1: Find the prime factorization of 6367

6367 = 6367

Step 2: Find the prime factorization of 6372

6372 = 2 x 2 x 3 x 3 x 3 x 59

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

LCM = 40570524 = 2 x 2 x 3 x 3 x 3 x 59 x 6367

Step 4: Therefore, the least common multiple of 6367 and 6372 is 40570524.