Least Common Multiple of 2408 and 2415

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 2415 the smallest integer that is 830760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2408 and 2415 is 830760.

LCM(2408,2415) = 830760

LCM of 2408 and 2415

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

LCM of:
and

Least Common Multiple of 2408 and 2415

LCM of 2408 and 2415 is 830760

Least common multiple can be found by multiplying the highest exponent prime factors of 2408 and 2415. First we will calculate the prime factors of 2408 and 2415.

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 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2415.

LCM(2408,2415) = 23×31×51×71×231×431
LCM(2408,2415) = 830760

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 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415

Least Common Multiple of 2408 and 2415 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 2415, than apply into the LCM equation.

GCF(2408,2415) = 7
LCM(2408,2415) = ( 2408 × 2415) / 7
LCM(2408,2415) = 5815320 / 7
LCM(2408,2415) = 830760

Properties of LCM 2408 and 2415

(i) The LCM of 2415 and 2408 is associative

LCM of 2408 and 2415 = LCM of 2415 and 2408

Related Least Common Multiples of 2408

Related Least Common Multiples of 2415

Frequently Asked Questions on LCM of 2408 and 2415

1. What is the LCM of 2408 and 2415?

Answer: LCM of 2408 and 2415 is 830760.

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 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

4. How to Find the LCM of 2408 and 2415?

Answer:

Least Common Multiple of 2408 and 2415 = 830760

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 2415

2415 = 3 x 5 x 7 x 23

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

LCM = 830760 = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 43

Step 4: Therefore, the least common multiple of 2408 and 2415 is 830760.