Least Common Multiple of 2404 and 2405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2404 and 2405 the smallest integer that is 5781620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2404 and 2405 is 5781620.

LCM(2404,2405) = 5781620

LCM of 2404 and 2405

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

LCM of:
and

Least Common Multiple of 2404 and 2405

LCM of 2404 and 2405 is 5781620

Least common multiple can be found by multiplying the highest exponent prime factors of 2404 and 2405. First we will calculate the prime factors of 2404 and 2405.

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

Prime Factorization of 2405


5 2405
13 481
37 37
1

Prime factors of 2405 are 5, 13,37. Prime factorization of 2405 in exponential form is:

2405 = 51×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2404 and 2405.

LCM(2404,2405) = 22×51×131×371×6011
LCM(2404,2405) = 5781620

Factors of 2404

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

1, 2, 4, 601, 1202, 2404

Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1, 5, 13, 37, 65, 185, 481, 2405

Least Common Multiple of 2404 and 2405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2404 and 2405, than apply into the LCM equation.

GCF(2404,2405) = 1
LCM(2404,2405) = ( 2404 × 2405) / 1
LCM(2404,2405) = 5781620 / 1
LCM(2404,2405) = 5781620

Properties of LCM 2404 and 2405

(i) The LCM of 2405 and 2404 is associative

LCM of 2404 and 2405 = LCM of 2405 and 2404

Related Least Common Multiples of 2404

Related Least Common Multiples of 2405

Frequently Asked Questions on LCM of 2404 and 2405

1. What is the LCM of 2404 and 2405?

Answer: LCM of 2404 and 2405 is 5781620.

2. 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.

3. What are the Factors of 2405?

Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.

4. How to Find the LCM of 2404 and 2405?

Answer:

Least Common Multiple of 2404 and 2405 = 5781620

Step 1: Find the prime factorization of 2404

2404 = 2 x 2 x 601

Step 2: Find the prime factorization of 2405

2405 = 5 x 13 x 37

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

LCM = 5781620 = 2 x 2 x 5 x 13 x 37 x 601

Step 4: Therefore, the least common multiple of 2404 and 2405 is 5781620.