Least Common Multiple of 2800 and 2803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2800 and 2803 the smallest integer that is 7848400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2800 and 2803 is 7848400.

LCM(2800,2803) = 7848400

LCM of 2800 and 2803

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

LCM of:
and

Least Common Multiple of 2800 and 2803

LCM of 2800 and 2803 is 7848400

Least common multiple can be found by multiplying the highest exponent prime factors of 2800 and 2803. First we will calculate the prime factors of 2800 and 2803.

Prime Factorization of 2800


2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 2800 are 2, 5,7. Prime factorization of 2800 in exponential form is:

2800 = 24×52×71

Prime Factorization of 2803


2803 2803
1

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

2803 = 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 2800 and 2803.

LCM(2800,2803) = 24×52×71×28031
LCM(2800,2803) = 7848400

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800

Factors of 2803

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

1, 2803

Least Common Multiple of 2800 and 2803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2800 and 2803, than apply into the LCM equation.

GCF(2800,2803) = 1
LCM(2800,2803) = ( 2800 × 2803) / 1
LCM(2800,2803) = 7848400 / 1
LCM(2800,2803) = 7848400

Properties of LCM 2800 and 2803

(i) The LCM of 2803 and 2800 is associative

LCM of 2800 and 2803 = LCM of 2803 and 2800

Related Least Common Multiples of 2800

Related Least Common Multiples of 2803

Frequently Asked Questions on LCM of 2800 and 2803

1. What is the LCM of 2800 and 2803?

Answer: LCM of 2800 and 2803 is 7848400.

2. What are the Factors of 2800?

Answer: Factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800. There are 30 integers that are factors of 2800. The greatest factor of 2800 is 2800.

3. 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.

4. How to Find the LCM of 2800 and 2803?

Answer:

Least Common Multiple of 2800 and 2803 = 7848400

Step 1: Find the prime factorization of 2800

2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 2803

2803 = 2803

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

LCM = 7848400 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 2803

Step 4: Therefore, the least common multiple of 2800 and 2803 is 7848400.