Least Common Multiple of 6360 and 6364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6360 and 6364 the smallest integer that is 10118760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6360 and 6364 is 10118760.

LCM(6360,6364) = 10118760

LCM of 6360 and 6364

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

LCM of:
and

Least Common Multiple of 6360 and 6364

LCM of 6360 and 6364 is 10118760

Least common multiple can be found by multiplying the highest exponent prime factors of 6360 and 6364. First we will calculate the prime factors of 6360 and 6364.

Prime Factorization of 6360


2 6360
2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 6360 are 2, 3, 5,53. Prime factorization of 6360 in exponential form is:

6360 = 23×31×51×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6360 and 6364.

LCM(6360,6364) = 23×31×51×371×431×531
LCM(6360,6364) = 10118760

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360

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

Least Common Multiple of 6360 and 6364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6360 and 6364, than apply into the LCM equation.

GCF(6360,6364) = 4
LCM(6360,6364) = ( 6360 × 6364) / 4
LCM(6360,6364) = 40475040 / 4
LCM(6360,6364) = 10118760

Properties of LCM 6360 and 6364

(i) The LCM of 6364 and 6360 is associative

LCM of 6360 and 6364 = LCM of 6364 and 6360

Related Least Common Multiples of 6360

Related Least Common Multiples of 6364

Frequently Asked Questions on LCM of 6360 and 6364

1. What is the LCM of 6360 and 6364?

Answer: LCM of 6360 and 6364 is 10118760.

2. What are the Factors of 6360?

Answer: Factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360. There are 32 integers that are factors of 6360. The greatest factor of 6360 is 6360.

3. 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.

4. How to Find the LCM of 6360 and 6364?

Answer:

Least Common Multiple of 6360 and 6364 = 10118760

Step 1: Find the prime factorization of 6360

6360 = 2 x 2 x 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

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

LCM = 10118760 = 2 x 2 x 2 x 3 x 5 x 37 x 43 x 53

Step 4: Therefore, the least common multiple of 6360 and 6364 is 10118760.