Least Common Multiple of 809 and 813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 809 and 813 the smallest integer that is 657717 that is divisible by both numbers.

Least Common Multiple (LCM) of 809 and 813 is 657717.

LCM(809,813) = 657717

LCM of 809 and 813

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

LCM of:
and

Least Common Multiple of 809 and 813

LCM of 809 and 813 is 657717

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 813. First we will calculate the prime factors of 809 and 813.

Prime Factorization of 809


809 809
1

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

809 = 8091

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 809 and 813.

LCM(809,813) = 31×2711×8091
LCM(809,813) = 657717

Factors of 809

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

1, 809

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Least Common Multiple of 809 and 813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 809 and 813, than apply into the LCM equation.

GCF(809,813) = 1
LCM(809,813) = ( 809 × 813) / 1
LCM(809,813) = 657717 / 1
LCM(809,813) = 657717

Properties of LCM 809 and 813

(i) The LCM of 813 and 809 is associative

LCM of 809 and 813 = LCM of 813 and 809

Related Least Common Multiples of 809

Related Least Common Multiples of 813

Frequently Asked Questions on LCM of 809 and 813

1. What is the LCM of 809 and 813?

Answer: LCM of 809 and 813 is 657717.

2. 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.

3. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

4. How to Find the LCM of 809 and 813?

Answer:

Least Common Multiple of 809 and 813 = 657717

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 813

813 = 3 x 271

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

LCM = 657717 = 3 x 271 x 809

Step 4: Therefore, the least common multiple of 809 and 813 is 657717.