Least Common Multiple of 2805 and 2808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2805 and 2808 the smallest integer that is 2625480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2805 and 2808 is 2625480.

LCM(2805,2808) = 2625480

LCM of 2805 and 2808

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

LCM of:
and

Least Common Multiple of 2805 and 2808

LCM of 2805 and 2808 is 2625480

Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2808. First we will calculate the prime factors of 2805 and 2808.

Prime Factorization of 2805


3 2805
5 935
11 187
17 17
1

Prime factors of 2805 are 3, 5, 11,17. Prime factorization of 2805 in exponential form is:

2805 = 31×51×111×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2808.

LCM(2805,2808) = 23×33×51×111×131×171
LCM(2805,2808) = 2625480

Factors of 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805

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

Least Common Multiple of 2805 and 2808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2805 and 2808, than apply into the LCM equation.

GCF(2805,2808) = 3
LCM(2805,2808) = ( 2805 × 2808) / 3
LCM(2805,2808) = 7876440 / 3
LCM(2805,2808) = 2625480

Properties of LCM 2805 and 2808

(i) The LCM of 2808 and 2805 is associative

LCM of 2805 and 2808 = LCM of 2808 and 2805

Related Least Common Multiples of 2805

Related Least Common Multiples of 2808

Frequently Asked Questions on LCM of 2805 and 2808

1. What is the LCM of 2805 and 2808?

Answer: LCM of 2805 and 2808 is 2625480.

2. What are the Factors of 2805?

Answer: Factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805. There are 16 integers that are factors of 2805. The greatest factor of 2805 is 2805.

3. 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.

4. How to Find the LCM of 2805 and 2808?

Answer:

Least Common Multiple of 2805 and 2808 = 2625480

Step 1: Find the prime factorization of 2805

2805 = 3 x 5 x 11 x 17

Step 2: Find the prime factorization of 2808

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

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

LCM = 2625480 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 2805 and 2808 is 2625480.