Least Common Multiple of 2408 and 2413

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 2413 the smallest integer that is 5810504 that is divisible by both numbers.

Least Common Multiple (LCM) of 2408 and 2413 is 5810504.

LCM(2408,2413) = 5810504

LCM of 2408 and 2413

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

LCM of:
and

Least Common Multiple of 2408 and 2413

LCM of 2408 and 2413 is 5810504

Least common multiple can be found by multiplying the highest exponent prime factors of 2408 and 2413. First we will calculate the prime factors of 2408 and 2413.

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 2413


19 2413
127 127
1

Prime factors of 2413 are 19,127. Prime factorization of 2413 in exponential form is:

2413 = 191×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2413.

LCM(2408,2413) = 23×71×191×431×1271
LCM(2408,2413) = 5810504

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 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1, 19, 127, 2413

Least Common Multiple of 2408 and 2413 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 2413, than apply into the LCM equation.

GCF(2408,2413) = 1
LCM(2408,2413) = ( 2408 × 2413) / 1
LCM(2408,2413) = 5810504 / 1
LCM(2408,2413) = 5810504

Properties of LCM 2408 and 2413

(i) The LCM of 2413 and 2408 is associative

LCM of 2408 and 2413 = LCM of 2413 and 2408

Related Least Common Multiples of 2408

Related Least Common Multiples of 2413

Frequently Asked Questions on LCM of 2408 and 2413

1. What is the LCM of 2408 and 2413?

Answer: LCM of 2408 and 2413 is 5810504.

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 2413?

Answer: Factors of 2413 are 1, 19, 127, 2413. There are 4 integers that are factors of 2413. The greatest factor of 2413 is 2413.

4. How to Find the LCM of 2408 and 2413?

Answer:

Least Common Multiple of 2408 and 2413 = 5810504

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 2413

2413 = 19 x 127

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

LCM = 5810504 = 2 x 2 x 2 x 7 x 19 x 43 x 127

Step 4: Therefore, the least common multiple of 2408 and 2413 is 5810504.