Least Common Multiple of 2397 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 2397 and 2398 the smallest integer that is 5748006 that is divisible by both numbers.

Least Common Multiple (LCM) of 2397 and 2398 is 5748006.

LCM(2397,2398) = 5748006

LCM of 2397 and 2398

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

LCM of:
and

Least Common Multiple of 2397 and 2398

LCM of 2397 and 2398 is 5748006

Least common multiple can be found by multiplying the highest exponent prime factors of 2397 and 2398. First we will calculate the prime factors of 2397 and 2398.

Prime Factorization of 2397


3 2397
17 799
47 47
1

Prime factors of 2397 are 3, 17,47. Prime factorization of 2397 in exponential form is:

2397 = 31×171×471

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 2397 and 2398.

LCM(2397,2398) = 21×31×111×171×471×1091
LCM(2397,2398) = 5748006

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1, 3, 17, 47, 51, 141, 799, 2397

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 2397 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 2397 and 2398, than apply into the LCM equation.

GCF(2397,2398) = 1
LCM(2397,2398) = ( 2397 × 2398) / 1
LCM(2397,2398) = 5748006 / 1
LCM(2397,2398) = 5748006

Properties of LCM 2397 and 2398

(i) The LCM of 2398 and 2397 is associative

LCM of 2397 and 2398 = LCM of 2398 and 2397

Related Least Common Multiples of 2397

Related Least Common Multiples of 2398

Frequently Asked Questions on LCM of 2397 and 2398

1. What is the LCM of 2397 and 2398?

Answer: LCM of 2397 and 2398 is 5748006.

2. What are the Factors of 2397?

Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.

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 2397 and 2398?

Answer:

Least Common Multiple of 2397 and 2398 = 5748006

Step 1: Find the prime factorization of 2397

2397 = 3 x 17 x 47

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 = 5748006 = 2 x 3 x 11 x 17 x 47 x 109

Step 4: Therefore, the least common multiple of 2397 and 2398 is 5748006.