Least Common Multiple of 2388 and 2395

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 2395 the smallest integer that is 5719260 that is divisible by both numbers.

Least Common Multiple (LCM) of 2388 and 2395 is 5719260.

LCM(2388,2395) = 5719260

LCM of 2388 and 2395

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

LCM of:
and

Least Common Multiple of 2388 and 2395

LCM of 2388 and 2395 is 5719260

Least common multiple can be found by multiplying the highest exponent prime factors of 2388 and 2395. First we will calculate the prime factors of 2388 and 2395.

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 2395


5 2395
479 479
1

Prime factors of 2395 are 5,479. Prime factorization of 2395 in exponential form is:

2395 = 51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 2388 and 2395.

LCM(2388,2395) = 22×31×51×1991×4791
LCM(2388,2395) = 5719260

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 2395

List of positive integer factors of 2395 that divides 2395 without a remainder.

1, 5, 479, 2395

Least Common Multiple of 2388 and 2395 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 2395, than apply into the LCM equation.

GCF(2388,2395) = 1
LCM(2388,2395) = ( 2388 × 2395) / 1
LCM(2388,2395) = 5719260 / 1
LCM(2388,2395) = 5719260

Properties of LCM 2388 and 2395

(i) The LCM of 2395 and 2388 is associative

LCM of 2388 and 2395 = LCM of 2395 and 2388

Related Least Common Multiples of 2388

Related Least Common Multiples of 2395

Frequently Asked Questions on LCM of 2388 and 2395

1. What is the LCM of 2388 and 2395?

Answer: LCM of 2388 and 2395 is 5719260.

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 2395?

Answer: Factors of 2395 are 1, 5, 479, 2395. There are 4 integers that are factors of 2395. The greatest factor of 2395 is 2395.

4. How to Find the LCM of 2388 and 2395?

Answer:

Least Common Multiple of 2388 and 2395 = 5719260

Step 1: Find the prime factorization of 2388

2388 = 2 x 2 x 3 x 199

Step 2: Find the prime factorization of 2395

2395 = 5 x 479

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

LCM = 5719260 = 2 x 2 x 3 x 5 x 199 x 479

Step 4: Therefore, the least common multiple of 2388 and 2395 is 5719260.