Least Common Multiple of 2389 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 2389 and 2396 the smallest integer that is 5724044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2389 and 2396 is 5724044.

LCM(2389,2396) = 5724044

LCM of 2389 and 2396

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

LCM of:
and

Least Common Multiple of 2389 and 2396

LCM of 2389 and 2396 is 5724044

Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2396. First we will calculate the prime factors of 2389 and 2396.

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 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 2389 and 2396.

LCM(2389,2396) = 22×5991×23891
LCM(2389,2396) = 5724044

Factors of 2389

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

1, 2389

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 2389 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 2389 and 2396, than apply into the LCM equation.

GCF(2389,2396) = 1
LCM(2389,2396) = ( 2389 × 2396) / 1
LCM(2389,2396) = 5724044 / 1
LCM(2389,2396) = 5724044

Properties of LCM 2389 and 2396

(i) The LCM of 2396 and 2389 is associative

LCM of 2389 and 2396 = LCM of 2396 and 2389

Related Least Common Multiples of 2389

Related Least Common Multiples of 2396

Frequently Asked Questions on LCM of 2389 and 2396

1. What is the LCM of 2389 and 2396?

Answer: LCM of 2389 and 2396 is 5724044.

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 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 2389 and 2396?

Answer:

Least Common Multiple of 2389 and 2396 = 5724044

Step 1: Find the prime factorization of 2389

2389 = 2389

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 = 5724044 = 2 x 2 x 599 x 2389

Step 4: Therefore, the least common multiple of 2389 and 2396 is 5724044.