Least Common Multiple of 2392 and 2396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2392 and 2396 the smallest integer that is 1432808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2392 and 2396 is 1432808.

LCM(2392,2396) = 1432808

LCM of 2392 and 2396

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

LCM of:
and

Least Common Multiple of 2392 and 2396

LCM of 2392 and 2396 is 1432808

Least common multiple can be found by multiplying the highest exponent prime factors of 2392 and 2396. First we will calculate the prime factors of 2392 and 2396.

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

Prime Factorization of 2396


2 2396
2 1198
599 599
1

Prime factors of 2396 are 2,599. Prime factorization of 2396 in exponential form is:

2396 = 22×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 2392 and 2396.

LCM(2392,2396) = 23×131×231×5991
LCM(2392,2396) = 1432808

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

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1, 2, 4, 599, 1198, 2396

Least Common Multiple of 2392 and 2396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2392 and 2396, than apply into the LCM equation.

GCF(2392,2396) = 4
LCM(2392,2396) = ( 2392 × 2396) / 4
LCM(2392,2396) = 5731232 / 4
LCM(2392,2396) = 1432808

Properties of LCM 2392 and 2396

(i) The LCM of 2396 and 2392 is associative

LCM of 2392 and 2396 = LCM of 2396 and 2392

Related Least Common Multiples of 2392

Related Least Common Multiples of 2396

Frequently Asked Questions on LCM of 2392 and 2396

1. What is the LCM of 2392 and 2396?

Answer: LCM of 2392 and 2396 is 1432808.

2. 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.

3. What are the Factors of 2396?

Answer: Factors of 2396 are 1, 2, 4, 599, 1198, 2396. There are 6 integers that are factors of 2396. The greatest factor of 2396 is 2396.

4. How to Find the LCM of 2392 and 2396?

Answer:

Least Common Multiple of 2392 and 2396 = 1432808

Step 1: Find the prime factorization of 2392

2392 = 2 x 2 x 2 x 13 x 23

Step 2: Find the prime factorization of 2396

2396 = 2 x 2 x 599

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

LCM = 1432808 = 2 x 2 x 2 x 13 x 23 x 599

Step 4: Therefore, the least common multiple of 2392 and 2396 is 1432808.