Least Common Multiple of 2398 and 2404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2398 and 2404 the smallest integer that is 2882396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2398 and 2404 is 2882396.

LCM(2398,2404) = 2882396

LCM of 2398 and 2404

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

LCM of:
and

Least Common Multiple of 2398 and 2404

LCM of 2398 and 2404 is 2882396

Least common multiple can be found by multiplying the highest exponent prime factors of 2398 and 2404. First we will calculate the prime factors of 2398 and 2404.

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

Prime Factorization of 2404


2 2404
2 1202
601 601
1

Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:

2404 = 22×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 2398 and 2404.

LCM(2398,2404) = 22×111×1091×6011
LCM(2398,2404) = 2882396

Factors of 2398

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

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

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1, 2, 4, 601, 1202, 2404

Least Common Multiple of 2398 and 2404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2398 and 2404, than apply into the LCM equation.

GCF(2398,2404) = 2
LCM(2398,2404) = ( 2398 × 2404) / 2
LCM(2398,2404) = 5764792 / 2
LCM(2398,2404) = 2882396

Properties of LCM 2398 and 2404

(i) The LCM of 2404 and 2398 is associative

LCM of 2398 and 2404 = LCM of 2404 and 2398

Related Least Common Multiples of 2398

Related Least Common Multiples of 2404

Frequently Asked Questions on LCM of 2398 and 2404

1. What is the LCM of 2398 and 2404?

Answer: LCM of 2398 and 2404 is 2882396.

2. 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.

3. What are the Factors of 2404?

Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.

4. How to Find the LCM of 2398 and 2404?

Answer:

Least Common Multiple of 2398 and 2404 = 2882396

Step 1: Find the prime factorization of 2398

2398 = 2 x 11 x 109

Step 2: Find the prime factorization of 2404

2404 = 2 x 2 x 601

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

LCM = 2882396 = 2 x 2 x 11 x 109 x 601

Step 4: Therefore, the least common multiple of 2398 and 2404 is 2882396.