Least Common Multiple of 803 and 809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 803 and 809 the smallest integer that is 649627 that is divisible by both numbers.

Least Common Multiple (LCM) of 803 and 809 is 649627.

LCM(803,809) = 649627

LCM of 803 and 809

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

LCM of:
and

Least Common Multiple of 803 and 809

LCM of 803 and 809 is 649627

Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 809. First we will calculate the prime factors of 803 and 809.

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

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 809.

LCM(803,809) = 111×731×8091
LCM(803,809) = 649627

Factors of 803

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

1, 11, 73, 803

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1, 809

Least Common Multiple of 803 and 809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 803 and 809, than apply into the LCM equation.

GCF(803,809) = 1
LCM(803,809) = ( 803 × 809) / 1
LCM(803,809) = 649627 / 1
LCM(803,809) = 649627

Properties of LCM 803 and 809

(i) The LCM of 809 and 803 is associative

LCM of 803 and 809 = LCM of 809 and 803

Related Least Common Multiples of 803

Related Least Common Multiples of 809

Frequently Asked Questions on LCM of 803 and 809

1. What is the LCM of 803 and 809?

Answer: LCM of 803 and 809 is 649627.

2. 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.

3. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

4. How to Find the LCM of 803 and 809?

Answer:

Least Common Multiple of 803 and 809 = 649627

Step 1: Find the prime factorization of 803

803 = 11 x 73

Step 2: Find the prime factorization of 809

809 = 809

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

LCM = 649627 = 11 x 73 x 809

Step 4: Therefore, the least common multiple of 803 and 809 is 649627.