Least Common Multiple of 6364 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 6364 and 6372 the smallest integer that is 10137852 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6372 is 10137852.

LCM(6364,6372) = 10137852

LCM of 6364 and 6372

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

LCM of:
and

Least Common Multiple of 6364 and 6372

LCM of 6364 and 6372 is 10137852

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6372. First we will calculate the prime factors of 6364 and 6372.

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 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 6364 and 6372.

LCM(6364,6372) = 22×33×371×431×591
LCM(6364,6372) = 10137852

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 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 6364 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 6364 and 6372, than apply into the LCM equation.

GCF(6364,6372) = 4
LCM(6364,6372) = ( 6364 × 6372) / 4
LCM(6364,6372) = 40551408 / 4
LCM(6364,6372) = 10137852

Properties of LCM 6364 and 6372

(i) The LCM of 6372 and 6364 is associative

LCM of 6364 and 6372 = LCM of 6372 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6372

Frequently Asked Questions on LCM of 6364 and 6372

1. What is the LCM of 6364 and 6372?

Answer: LCM of 6364 and 6372 is 10137852.

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 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 6364 and 6372?

Answer:

Least Common Multiple of 6364 and 6372 = 10137852

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

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 = 10137852 = 2 x 2 x 3 x 3 x 3 x 37 x 43 x 59

Step 4: Therefore, the least common multiple of 6364 and 6372 is 10137852.