Least Common Multiple of 2388 and 2393

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 2393 the smallest integer that is 5714484 that is divisible by both numbers.

Least Common Multiple (LCM) of 2388 and 2393 is 5714484.

LCM(2388,2393) = 5714484

LCM of 2388 and 2393

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

LCM of:
and

Least Common Multiple of 2388 and 2393

LCM of 2388 and 2393 is 5714484

Least common multiple can be found by multiplying the highest exponent prime factors of 2388 and 2393. First we will calculate the prime factors of 2388 and 2393.

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 2393


2393 2393
1

Prime factors of 2393 are 2393. Prime factorization of 2393 in exponential form is:

2393 = 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 2388 and 2393.

LCM(2388,2393) = 22×31×1991×23931
LCM(2388,2393) = 5714484

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 2393

List of positive integer factors of 2393 that divides 2393 without a remainder.

1, 2393

Least Common Multiple of 2388 and 2393 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 2393, than apply into the LCM equation.

GCF(2388,2393) = 1
LCM(2388,2393) = ( 2388 × 2393) / 1
LCM(2388,2393) = 5714484 / 1
LCM(2388,2393) = 5714484

Properties of LCM 2388 and 2393

(i) The LCM of 2393 and 2388 is associative

LCM of 2388 and 2393 = LCM of 2393 and 2388

Related Least Common Multiples of 2388

Related Least Common Multiples of 2393

Frequently Asked Questions on LCM of 2388 and 2393

1. What is the LCM of 2388 and 2393?

Answer: LCM of 2388 and 2393 is 5714484.

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 2393?

Answer: Factors of 2393 are 1, 2393. There are 2 integers that are factors of 2393. The greatest factor of 2393 is 2393.

4. How to Find the LCM of 2388 and 2393?

Answer:

Least Common Multiple of 2388 and 2393 = 5714484

Step 1: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

Step 2: Find the prime factorization of 2393

2393 = 2393

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

LCM = 5714484 = 2 x 2 x 3 x 199 x 2393

Step 4: Therefore, the least common multiple of 2388 and 2393 is 5714484.