Least Common Multiple of 2803 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 2803 and 2808 the smallest integer that is 7870824 that is divisible by both numbers.

Least Common Multiple (LCM) of 2803 and 2808 is 7870824.

LCM(2803,2808) = 7870824

LCM of 2803 and 2808

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

LCM of:
and

Least Common Multiple of 2803 and 2808

LCM of 2803 and 2808 is 7870824

Least common multiple can be found by multiplying the highest exponent prime factors of 2803 and 2808. First we will calculate the prime factors of 2803 and 2808.

Prime Factorization of 2803


2803 2803
1

Prime factors of 2803 are 2803. Prime factorization of 2803 in exponential form is:

2803 = 28031

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 2803 and 2808.

LCM(2803,2808) = 23×33×131×28031
LCM(2803,2808) = 7870824

Factors of 2803

List of positive integer factors of 2803 that divides 2803 without a remainder.

1, 2803

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 2803 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 2803 and 2808, than apply into the LCM equation.

GCF(2803,2808) = 1
LCM(2803,2808) = ( 2803 × 2808) / 1
LCM(2803,2808) = 7870824 / 1
LCM(2803,2808) = 7870824

Properties of LCM 2803 and 2808

(i) The LCM of 2808 and 2803 is associative

LCM of 2803 and 2808 = LCM of 2808 and 2803

Related Least Common Multiples of 2803

Related Least Common Multiples of 2808

Frequently Asked Questions on LCM of 2803 and 2808

1. What is the LCM of 2803 and 2808?

Answer: LCM of 2803 and 2808 is 7870824.

2. What are the Factors of 2803?

Answer: Factors of 2803 are 1, 2803. There are 2 integers that are factors of 2803. The greatest factor of 2803 is 2803.

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 2803 and 2808?

Answer:

Least Common Multiple of 2803 and 2808 = 7870824

Step 1: Find the prime factorization of 2803

2803 = 2803

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 = 7870824 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 2803

Step 4: Therefore, the least common multiple of 2803 and 2808 is 7870824.