Least Common Multiple of 2408 and 2416

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 2416 the smallest integer that is 727216 that is divisible by both numbers.

Least Common Multiple (LCM) of 2408 and 2416 is 727216.

LCM(2408,2416) = 727216

LCM of 2408 and 2416

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

LCM of:
and

Least Common Multiple of 2408 and 2416

LCM of 2408 and 2416 is 727216

Least common multiple can be found by multiplying the highest exponent prime factors of 2408 and 2416. First we will calculate the prime factors of 2408 and 2416.

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 2416


2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 2416 are 2,151. Prime factorization of 2416 in exponential form is:

2416 = 24×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2416.

LCM(2408,2416) = 24×71×431×1511
LCM(2408,2416) = 727216

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 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

Least Common Multiple of 2408 and 2416 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 2416, than apply into the LCM equation.

GCF(2408,2416) = 8
LCM(2408,2416) = ( 2408 × 2416) / 8
LCM(2408,2416) = 5817728 / 8
LCM(2408,2416) = 727216

Properties of LCM 2408 and 2416

(i) The LCM of 2416 and 2408 is associative

LCM of 2408 and 2416 = LCM of 2416 and 2408

Related Least Common Multiples of 2408

Related Least Common Multiples of 2416

Frequently Asked Questions on LCM of 2408 and 2416

1. What is the LCM of 2408 and 2416?

Answer: LCM of 2408 and 2416 is 727216.

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 2416?

Answer: Factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416. There are 10 integers that are factors of 2416. The greatest factor of 2416 is 2416.

4. How to Find the LCM of 2408 and 2416?

Answer:

Least Common Multiple of 2408 and 2416 = 727216

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 2416

2416 = 2 x 2 x 2 x 2 x 151

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

LCM = 727216 = 2 x 2 x 2 x 2 x 7 x 43 x 151

Step 4: Therefore, the least common multiple of 2408 and 2416 is 727216.