Least Common Multiple of 2385 and 2392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2385 and 2392 the smallest integer that is 5704920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2385 and 2392 is 5704920.

LCM(2385,2392) = 5704920

LCM of 2385 and 2392

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

LCM of:
and

Least Common Multiple of 2385 and 2392

LCM of 2385 and 2392 is 5704920

Least common multiple can be found by multiplying the highest exponent prime factors of 2385 and 2392. First we will calculate the prime factors of 2385 and 2392.

Prime Factorization of 2385


3 2385
3 795
5 265
53 53
1

Prime factors of 2385 are 3, 5,53. Prime factorization of 2385 in exponential form is:

2385 = 32×51×531

Prime Factorization of 2392


2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 2392 are 2, 13,23. Prime factorization of 2392 in exponential form is:

2392 = 23×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2385 and 2392.

LCM(2385,2392) = 23×32×51×131×231×531
LCM(2385,2392) = 5704920

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385

Factors of 2392

List of positive integer factors of 2392 that divides 2392 without a remainder.

1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392

Least Common Multiple of 2385 and 2392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2385 and 2392, than apply into the LCM equation.

GCF(2385,2392) = 1
LCM(2385,2392) = ( 2385 × 2392) / 1
LCM(2385,2392) = 5704920 / 1
LCM(2385,2392) = 5704920

Properties of LCM 2385 and 2392

(i) The LCM of 2392 and 2385 is associative

LCM of 2385 and 2392 = LCM of 2392 and 2385

Related Least Common Multiples of 2385

Related Least Common Multiples of 2392

Frequently Asked Questions on LCM of 2385 and 2392

1. What is the LCM of 2385 and 2392?

Answer: LCM of 2385 and 2392 is 5704920.

2. What are the Factors of 2385?

Answer: Factors of 2385 are 1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385. There are 12 integers that are factors of 2385. The greatest factor of 2385 is 2385.

3. What are the Factors of 2392?

Answer: Factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392. There are 16 integers that are factors of 2392. The greatest factor of 2392 is 2392.

4. How to Find the LCM of 2385 and 2392?

Answer:

Least Common Multiple of 2385 and 2392 = 5704920

Step 1: Find the prime factorization of 2385

2385 = 3 x 3 x 5 x 53

Step 2: Find the prime factorization of 2392

2392 = 2 x 2 x 2 x 13 x 23

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

LCM = 5704920 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 2385 and 2392 is 5704920.