Least Common Multiple of 2399 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 2399 and 2404 the smallest integer that is 5767196 that is divisible by both numbers.

Least Common Multiple (LCM) of 2399 and 2404 is 5767196.

LCM(2399,2404) = 5767196

LCM of 2399 and 2404

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

LCM of:
and

Least Common Multiple of 2399 and 2404

LCM of 2399 and 2404 is 5767196

Least common multiple can be found by multiplying the highest exponent prime factors of 2399 and 2404. First we will calculate the prime factors of 2399 and 2404.

Prime Factorization of 2399


2399 2399
1

Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:

2399 = 23991

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 2399 and 2404.

LCM(2399,2404) = 22×6011×23991
LCM(2399,2404) = 5767196

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1, 2399

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 2399 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 2399 and 2404, than apply into the LCM equation.

GCF(2399,2404) = 1
LCM(2399,2404) = ( 2399 × 2404) / 1
LCM(2399,2404) = 5767196 / 1
LCM(2399,2404) = 5767196

Properties of LCM 2399 and 2404

(i) The LCM of 2404 and 2399 is associative

LCM of 2399 and 2404 = LCM of 2404 and 2399

Related Least Common Multiples of 2399

Related Least Common Multiples of 2404

Frequently Asked Questions on LCM of 2399 and 2404

1. What is the LCM of 2399 and 2404?

Answer: LCM of 2399 and 2404 is 5767196.

2. What are the Factors of 2399?

Answer: Factors of 2399 are 1, 2399. There are 2 integers that are factors of 2399. The greatest factor of 2399 is 2399.

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 2399 and 2404?

Answer:

Least Common Multiple of 2399 and 2404 = 5767196

Step 1: Find the prime factorization of 2399

2399 = 2399

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 = 5767196 = 2 x 2 x 601 x 2399

Step 4: Therefore, the least common multiple of 2399 and 2404 is 5767196.