Least Common Multiple of 2388 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 2388 and 2392 the smallest integer that is 1428024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2388 and 2392 is 1428024.

LCM(2388,2392) = 1428024

LCM of 2388 and 2392

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

LCM of:
and

Least Common Multiple of 2388 and 2392

LCM of 2388 and 2392 is 1428024

Least common multiple can be found by multiplying the highest exponent prime factors of 2388 and 2392. First we will calculate the prime factors of 2388 and 2392.

Prime Factorization of 2388


2 2388
2 1194
3 597
199 199
1

Prime factors of 2388 are 2, 3,199. Prime factorization of 2388 in exponential form is:

2388 = 22×31×1991

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 2388 and 2392.

LCM(2388,2392) = 23×31×131×231×1991
LCM(2388,2392) = 1428024

Factors of 2388

List of positive integer factors of 2388 that divides 2388 without a remainder.

1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388

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 2388 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 2388 and 2392, than apply into the LCM equation.

GCF(2388,2392) = 4
LCM(2388,2392) = ( 2388 × 2392) / 4
LCM(2388,2392) = 5712096 / 4
LCM(2388,2392) = 1428024

Properties of LCM 2388 and 2392

(i) The LCM of 2392 and 2388 is associative

LCM of 2388 and 2392 = LCM of 2392 and 2388

Related Least Common Multiples of 2388

Related Least Common Multiples of 2392

Frequently Asked Questions on LCM of 2388 and 2392

1. What is the LCM of 2388 and 2392?

Answer: LCM of 2388 and 2392 is 1428024.

2. What are the Factors of 2388?

Answer: Factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. There are 12 integers that are factors of 2388. The greatest factor of 2388 is 2388.

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 2388 and 2392?

Answer:

Least Common Multiple of 2388 and 2392 = 1428024

Step 1: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

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 = 1428024 = 2 x 2 x 2 x 3 x 13 x 23 x 199

Step 4: Therefore, the least common multiple of 2388 and 2392 is 1428024.