Least Common Multiple of 2396 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 2396 and 2404 the smallest integer that is 1439996 that is divisible by both numbers.

Least Common Multiple (LCM) of 2396 and 2404 is 1439996.

LCM(2396,2404) = 1439996

LCM of 2396 and 2404

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

LCM of:
and

Least Common Multiple of 2396 and 2404

LCM of 2396 and 2404 is 1439996

Least common multiple can be found by multiplying the highest exponent prime factors of 2396 and 2404. First we will calculate the prime factors of 2396 and 2404.

Prime Factorization of 2396


2 2396
2 1198
599 599
1

Prime factors of 2396 are 2,599. Prime factorization of 2396 in exponential form is:

2396 = 22×5991

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 2396 and 2404.

LCM(2396,2404) = 22×5991×6011
LCM(2396,2404) = 1439996

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1, 2, 4, 599, 1198, 2396

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 2396 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 2396 and 2404, than apply into the LCM equation.

GCF(2396,2404) = 4
LCM(2396,2404) = ( 2396 × 2404) / 4
LCM(2396,2404) = 5759984 / 4
LCM(2396,2404) = 1439996

Properties of LCM 2396 and 2404

(i) The LCM of 2404 and 2396 is associative

LCM of 2396 and 2404 = LCM of 2404 and 2396

Related Least Common Multiples of 2396

Related Least Common Multiples of 2404

Frequently Asked Questions on LCM of 2396 and 2404

1. What is the LCM of 2396 and 2404?

Answer: LCM of 2396 and 2404 is 1439996.

2. What are the Factors of 2396?

Answer: Factors of 2396 are 1, 2, 4, 599, 1198, 2396. There are 6 integers that are factors of 2396. The greatest factor of 2396 is 2396.

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 2396 and 2404?

Answer:

Least Common Multiple of 2396 and 2404 = 1439996

Step 1: Find the prime factorization of 2396

2396 = 2 x 2 x 599

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 = 1439996 = 2 x 2 x 599 x 601

Step 4: Therefore, the least common multiple of 2396 and 2404 is 1439996.