Least Common Multiple of 2404 and 2411

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 2411 the smallest integer that is 5796044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2404 and 2411 is 5796044.

LCM(2404,2411) = 5796044

LCM of 2404 and 2411

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

LCM of:
and

Least Common Multiple of 2404 and 2411

LCM of 2404 and 2411 is 5796044

Least common multiple can be found by multiplying the highest exponent prime factors of 2404 and 2411. First we will calculate the prime factors of 2404 and 2411.

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 2411


2411 2411
1

Prime factors of 2411 are 2411. Prime factorization of 2411 in exponential form is:

2411 = 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 2404 and 2411.

LCM(2404,2411) = 22×6011×24111
LCM(2404,2411) = 5796044

Factors of 2404

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

1, 2, 4, 601, 1202, 2404

Factors of 2411

List of positive integer factors of 2411 that divides 2411 without a remainder.

1, 2411

Least Common Multiple of 2404 and 2411 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 2411, than apply into the LCM equation.

GCF(2404,2411) = 1
LCM(2404,2411) = ( 2404 × 2411) / 1
LCM(2404,2411) = 5796044 / 1
LCM(2404,2411) = 5796044

Properties of LCM 2404 and 2411

(i) The LCM of 2411 and 2404 is associative

LCM of 2404 and 2411 = LCM of 2411 and 2404

Related Least Common Multiples of 2404

Related Least Common Multiples of 2411

Frequently Asked Questions on LCM of 2404 and 2411

1. What is the LCM of 2404 and 2411?

Answer: LCM of 2404 and 2411 is 5796044.

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 2411?

Answer: Factors of 2411 are 1, 2411. There are 2 integers that are factors of 2411. The greatest factor of 2411 is 2411.

4. How to Find the LCM of 2404 and 2411?

Answer:

Least Common Multiple of 2404 and 2411 = 5796044

Step 1: Find the prime factorization of 2404

2404 = 2 x 2 x 601

Step 2: Find the prime factorization of 2411

2411 = 2411

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

LCM = 5796044 = 2 x 2 x 601 x 2411

Step 4: Therefore, the least common multiple of 2404 and 2411 is 5796044.