Least Common Multiple of 809 and 812

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 812 the smallest integer that is 656908 that is divisible by both numbers.

Least Common Multiple (LCM) of 809 and 812 is 656908.

LCM(809,812) = 656908

LCM of 809 and 812

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

LCM of:
and

Least Common Multiple of 809 and 812

LCM of 809 and 812 is 656908

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 812. First we will calculate the prime factors of 809 and 812.

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 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2, 7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 809 and 812.

LCM(809,812) = 22×71×291×8091
LCM(809,812) = 656908

Factors of 809

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

1, 809

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Least Common Multiple of 809 and 812 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 812, than apply into the LCM equation.

GCF(809,812) = 1
LCM(809,812) = ( 809 × 812) / 1
LCM(809,812) = 656908 / 1
LCM(809,812) = 656908

Properties of LCM 809 and 812

(i) The LCM of 812 and 809 is associative

LCM of 809 and 812 = LCM of 812 and 809

Related Least Common Multiples of 809

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 809 and 812

1. What is the LCM of 809 and 812?

Answer: LCM of 809 and 812 is 656908.

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 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

4. How to Find the LCM of 809 and 812?

Answer:

Least Common Multiple of 809 and 812 = 656908

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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

LCM = 656908 = 2 x 2 x 7 x 29 x 809

Step 4: Therefore, the least common multiple of 809 and 812 is 656908.