Least Common Multiple of 2389 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 2389 and 2395 the smallest integer that is 5721655 that is divisible by both numbers.

Least Common Multiple (LCM) of 2389 and 2395 is 5721655.

LCM(2389,2395) = 5721655

LCM of 2389 and 2395

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

LCM of:
and

Least Common Multiple of 2389 and 2395

LCM of 2389 and 2395 is 5721655

Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2395. First we will calculate the prime factors of 2389 and 2395.

Prime Factorization of 2389


2389 2389
1

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

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 2389 and 2395.

LCM(2389,2395) = 51×4791×23891
LCM(2389,2395) = 5721655

Factors of 2389

List of positive integer factors of 2389 that divides 2389 without a remainder.

1, 2389

Factors of 2395

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

1, 5, 479, 2395

Least Common Multiple of 2389 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 2389 and 2395, than apply into the LCM equation.

GCF(2389,2395) = 1
LCM(2389,2395) = ( 2389 × 2395) / 1
LCM(2389,2395) = 5721655 / 1
LCM(2389,2395) = 5721655

Properties of LCM 2389 and 2395

(i) The LCM of 2395 and 2389 is associative

LCM of 2389 and 2395 = LCM of 2395 and 2389

Related Least Common Multiples of 2389

Related Least Common Multiples of 2395

Frequently Asked Questions on LCM of 2389 and 2395

1. What is the LCM of 2389 and 2395?

Answer: LCM of 2389 and 2395 is 5721655.

2. What are the Factors of 2389?

Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.

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 2389 and 2395?

Answer:

Least Common Multiple of 2389 and 2395 = 5721655

Step 1: Find the prime factorization of 2389

2389 = 2389

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 = 5721655 = 5 x 479 x 2389

Step 4: Therefore, the least common multiple of 2389 and 2395 is 5721655.