Least Common Multiple of 800 and 803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 800 and 803 the smallest integer that is 642400 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 803 is 642400.

LCM(800,803) = 642400

LCM of 800 and 803

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

LCM of:
and

Least Common Multiple of 800 and 803

LCM of 800 and 803 is 642400

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 803. First we will calculate the prime factors of 800 and 803.

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 803


11 803
73 73
1

Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:

803 = 111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 803.

LCM(800,803) = 25×52×111×731
LCM(800,803) = 642400

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Least Common Multiple of 800 and 803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 800 and 803, than apply into the LCM equation.

GCF(800,803) = 1
LCM(800,803) = ( 800 × 803) / 1
LCM(800,803) = 642400 / 1
LCM(800,803) = 642400

Properties of LCM 800 and 803

(i) The LCM of 803 and 800 is associative

LCM of 800 and 803 = LCM of 803 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 803

Frequently Asked Questions on LCM of 800 and 803

1. What is the LCM of 800 and 803?

Answer: LCM of 800 and 803 is 642400.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 803?

Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.

4. How to Find the LCM of 800 and 803?

Answer:

Least Common Multiple of 800 and 803 = 642400

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 803

803 = 11 x 73

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

LCM = 642400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 73

Step 4: Therefore, the least common multiple of 800 and 803 is 642400.