Least Common Multiple of 2808 and 2815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2808 and 2815 the smallest integer that is 7904520 that is divisible by both numbers.

Least Common Multiple (LCM) of 2808 and 2815 is 7904520.

LCM(2808,2815) = 7904520

LCM of 2808 and 2815

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

LCM of:
and

Least Common Multiple of 2808 and 2815

LCM of 2808 and 2815 is 7904520

Least common multiple can be found by multiplying the highest exponent prime factors of 2808 and 2815. First we will calculate the prime factors of 2808 and 2815.

Prime Factorization of 2808


2 2808
2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 2808 are 2, 3,13. Prime factorization of 2808 in exponential form is:

2808 = 23×33×131

Prime Factorization of 2815


5 2815
563 563
1

Prime factors of 2815 are 5,563. Prime factorization of 2815 in exponential form is:

2815 = 51×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 2808 and 2815.

LCM(2808,2815) = 23×33×51×131×5631
LCM(2808,2815) = 7904520

Factors of 2808

List of positive integer factors of 2808 that divides 2808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808

Factors of 2815

List of positive integer factors of 2815 that divides 2815 without a remainder.

1, 5, 563, 2815

Least Common Multiple of 2808 and 2815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2808 and 2815, than apply into the LCM equation.

GCF(2808,2815) = 1
LCM(2808,2815) = ( 2808 × 2815) / 1
LCM(2808,2815) = 7904520 / 1
LCM(2808,2815) = 7904520

Properties of LCM 2808 and 2815

(i) The LCM of 2815 and 2808 is associative

LCM of 2808 and 2815 = LCM of 2815 and 2808

Related Least Common Multiples of 2808

Related Least Common Multiples of 2815

Frequently Asked Questions on LCM of 2808 and 2815

1. What is the LCM of 2808 and 2815?

Answer: LCM of 2808 and 2815 is 7904520.

2. What are the Factors of 2808?

Answer: Factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808. There are 32 integers that are factors of 2808. The greatest factor of 2808 is 2808.

3. What are the Factors of 2815?

Answer: Factors of 2815 are 1, 5, 563, 2815. There are 4 integers that are factors of 2815. The greatest factor of 2815 is 2815.

4. How to Find the LCM of 2808 and 2815?

Answer:

Least Common Multiple of 2808 and 2815 = 7904520

Step 1: Find the prime factorization of 2808

2808 = 2 x 2 x 2 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 2815

2815 = 5 x 563

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

LCM = 7904520 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 563

Step 4: Therefore, the least common multiple of 2808 and 2815 is 7904520.