Least Common Multiple of 2391 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 2391 and 2398 the smallest integer that is 5733618 that is divisible by both numbers.

Least Common Multiple (LCM) of 2391 and 2398 is 5733618.

LCM(2391,2398) = 5733618

LCM of 2391 and 2398

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

LCM of:
and

Least Common Multiple of 2391 and 2398

LCM of 2391 and 2398 is 5733618

Least common multiple can be found by multiplying the highest exponent prime factors of 2391 and 2398. First we will calculate the prime factors of 2391 and 2398.

Prime Factorization of 2391


3 2391
797 797
1

Prime factors of 2391 are 3,797. Prime factorization of 2391 in exponential form is:

2391 = 31×7971

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 2391 and 2398.

LCM(2391,2398) = 21×31×111×1091×7971
LCM(2391,2398) = 5733618

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1, 3, 797, 2391

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 2391 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 2391 and 2398, than apply into the LCM equation.

GCF(2391,2398) = 1
LCM(2391,2398) = ( 2391 × 2398) / 1
LCM(2391,2398) = 5733618 / 1
LCM(2391,2398) = 5733618

Properties of LCM 2391 and 2398

(i) The LCM of 2398 and 2391 is associative

LCM of 2391 and 2398 = LCM of 2398 and 2391

Related Least Common Multiples of 2391

Related Least Common Multiples of 2398

Frequently Asked Questions on LCM of 2391 and 2398

1. What is the LCM of 2391 and 2398?

Answer: LCM of 2391 and 2398 is 5733618.

2. What are the Factors of 2391?

Answer: Factors of 2391 are 1, 3, 797, 2391. There are 4 integers that are factors of 2391. The greatest factor of 2391 is 2391.

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 2391 and 2398?

Answer:

Least Common Multiple of 2391 and 2398 = 5733618

Step 1: Find the prime factorization of 2391

2391 = 3 x 797

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 = 5733618 = 2 x 3 x 11 x 109 x 797

Step 4: Therefore, the least common multiple of 2391 and 2398 is 5733618.