Least Common Multiple of 2404 and 2406

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 2406 the smallest integer that is 2892012 that is divisible by both numbers.

Least Common Multiple (LCM) of 2404 and 2406 is 2892012.

LCM(2404,2406) = 2892012

LCM of 2404 and 2406

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

LCM of:
and

Least Common Multiple of 2404 and 2406

LCM of 2404 and 2406 is 2892012

Least common multiple can be found by multiplying the highest exponent prime factors of 2404 and 2406. First we will calculate the prime factors of 2404 and 2406.

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 2406


2 2406
3 1203
401 401
1

Prime factors of 2406 are 2, 3,401. Prime factorization of 2406 in exponential form is:

2406 = 21×31×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 2404 and 2406.

LCM(2404,2406) = 22×31×4011×6011
LCM(2404,2406) = 2892012

Factors of 2404

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

1, 2, 4, 601, 1202, 2404

Factors of 2406

List of positive integer factors of 2406 that divides 2406 without a remainder.

1, 2, 3, 6, 401, 802, 1203, 2406

Least Common Multiple of 2404 and 2406 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 2406, than apply into the LCM equation.

GCF(2404,2406) = 2
LCM(2404,2406) = ( 2404 × 2406) / 2
LCM(2404,2406) = 5784024 / 2
LCM(2404,2406) = 2892012

Properties of LCM 2404 and 2406

(i) The LCM of 2406 and 2404 is associative

LCM of 2404 and 2406 = LCM of 2406 and 2404

Related Least Common Multiples of 2404

Related Least Common Multiples of 2406

Frequently Asked Questions on LCM of 2404 and 2406

1. What is the LCM of 2404 and 2406?

Answer: LCM of 2404 and 2406 is 2892012.

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 2406?

Answer: Factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406. There are 8 integers that are factors of 2406. The greatest factor of 2406 is 2406.

4. How to Find the LCM of 2404 and 2406?

Answer:

Least Common Multiple of 2404 and 2406 = 2892012

Step 1: Find the prime factorization of 2404

2404 = 2 x 2 x 601

Step 2: Find the prime factorization of 2406

2406 = 2 x 3 x 401

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

LCM = 2892012 = 2 x 2 x 3 x 401 x 601

Step 4: Therefore, the least common multiple of 2404 and 2406 is 2892012.