Least Common Multiple of 2393 and 2398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2393 and 2398 the smallest integer that is 5738414 that is divisible by both numbers.

Least Common Multiple (LCM) of 2393 and 2398 is 5738414.

LCM(2393,2398) = 5738414

LCM of 2393 and 2398

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

LCM of:
and

Least Common Multiple of 2393 and 2398

LCM of 2393 and 2398 is 5738414

Least common multiple can be found by multiplying the highest exponent prime factors of 2393 and 2398. First we will calculate the prime factors of 2393 and 2398.

Prime Factorization of 2393


2393 2393
1

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

2393 = 23931

Prime Factorization of 2398


2 2398
11 1199
109 109
1

Prime factors of 2398 are 2, 11,109. Prime factorization of 2398 in exponential form is:

2398 = 21×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2393 and 2398.

LCM(2393,2398) = 21×111×1091×23931
LCM(2393,2398) = 5738414

Factors of 2393

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

1, 2393

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1, 2, 11, 22, 109, 218, 1199, 2398

Least Common Multiple of 2393 and 2398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2393 and 2398, than apply into the LCM equation.

GCF(2393,2398) = 1
LCM(2393,2398) = ( 2393 × 2398) / 1
LCM(2393,2398) = 5738414 / 1
LCM(2393,2398) = 5738414

Properties of LCM 2393 and 2398

(i) The LCM of 2398 and 2393 is associative

LCM of 2393 and 2398 = LCM of 2398 and 2393

Related Least Common Multiples of 2393

Related Least Common Multiples of 2398

Frequently Asked Questions on LCM of 2393 and 2398

1. What is the LCM of 2393 and 2398?

Answer: LCM of 2393 and 2398 is 5738414.

2. 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.

3. What are the Factors of 2398?

Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.

4. How to Find the LCM of 2393 and 2398?

Answer:

Least Common Multiple of 2393 and 2398 = 5738414

Step 1: Find the prime factorization of 2393

2393 = 2393

Step 2: Find the prime factorization of 2398

2398 = 2 x 11 x 109

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

LCM = 5738414 = 2 x 11 x 109 x 2393

Step 4: Therefore, the least common multiple of 2393 and 2398 is 5738414.