Least Common Multiple of 2408 and 2409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2408 and 2409 the smallest integer that is 5800872 that is divisible by both numbers.

Least Common Multiple (LCM) of 2408 and 2409 is 5800872.

LCM(2408,2409) = 5800872

LCM of 2408 and 2409

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

LCM of:
and

Least Common Multiple of 2408 and 2409

LCM of 2408 and 2409 is 5800872

Least common multiple can be found by multiplying the highest exponent prime factors of 2408 and 2409. First we will calculate the prime factors of 2408 and 2409.

Prime Factorization of 2408


2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 2408 are 2, 7,43. Prime factorization of 2408 in exponential form is:

2408 = 23×71×431

Prime Factorization of 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2409.

LCM(2408,2409) = 23×31×71×111×431×731
LCM(2408,2409) = 5800872

Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1, 3, 11, 33, 73, 219, 803, 2409

Least Common Multiple of 2408 and 2409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2408 and 2409, than apply into the LCM equation.

GCF(2408,2409) = 1
LCM(2408,2409) = ( 2408 × 2409) / 1
LCM(2408,2409) = 5800872 / 1
LCM(2408,2409) = 5800872

Properties of LCM 2408 and 2409

(i) The LCM of 2409 and 2408 is associative

LCM of 2408 and 2409 = LCM of 2409 and 2408

Related Least Common Multiples of 2408

Related Least Common Multiples of 2409

Frequently Asked Questions on LCM of 2408 and 2409

1. What is the LCM of 2408 and 2409?

Answer: LCM of 2408 and 2409 is 5800872.

2. What are the Factors of 2408?

Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.

3. What are the Factors of 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

4. How to Find the LCM of 2408 and 2409?

Answer:

Least Common Multiple of 2408 and 2409 = 5800872

Step 1: Find the prime factorization of 2408

2408 = 2 x 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 2409

2409 = 3 x 11 x 73

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

LCM = 5800872 = 2 x 2 x 2 x 3 x 7 x 11 x 43 x 73

Step 4: Therefore, the least common multiple of 2408 and 2409 is 5800872.