Least Common Multiple of 2403 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 2403 and 2404 the smallest integer that is 5776812 that is divisible by both numbers.

Least Common Multiple (LCM) of 2403 and 2404 is 5776812.

LCM(2403,2404) = 5776812

LCM of 2403 and 2404

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

LCM of:
and

Least Common Multiple of 2403 and 2404

LCM of 2403 and 2404 is 5776812

Least common multiple can be found by multiplying the highest exponent prime factors of 2403 and 2404. First we will calculate the prime factors of 2403 and 2404.

Prime Factorization of 2403


3 2403
3 801
3 267
89 89
1

Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:

2403 = 33×891

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 2403 and 2404.

LCM(2403,2404) = 22×33×891×6011
LCM(2403,2404) = 5776812

Factors of 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1, 3, 9, 27, 89, 267, 801, 2403

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 2403 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 2403 and 2404, than apply into the LCM equation.

GCF(2403,2404) = 1
LCM(2403,2404) = ( 2403 × 2404) / 1
LCM(2403,2404) = 5776812 / 1
LCM(2403,2404) = 5776812

Properties of LCM 2403 and 2404

(i) The LCM of 2404 and 2403 is associative

LCM of 2403 and 2404 = LCM of 2404 and 2403

Related Least Common Multiples of 2403

Related Least Common Multiples of 2404

Frequently Asked Questions on LCM of 2403 and 2404

1. What is the LCM of 2403 and 2404?

Answer: LCM of 2403 and 2404 is 5776812.

2. What are the Factors of 2403?

Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.

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 2403 and 2404?

Answer:

Least Common Multiple of 2403 and 2404 = 5776812

Step 1: Find the prime factorization of 2403

2403 = 3 x 3 x 3 x 89

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 = 5776812 = 2 x 2 x 3 x 3 x 3 x 89 x 601

Step 4: Therefore, the least common multiple of 2403 and 2404 is 5776812.