Least Common Multiple of 809 and 810

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 810 the smallest integer that is 655290 that is divisible by both numbers.

Least Common Multiple (LCM) of 809 and 810 is 655290.

LCM(809,810) = 655290

LCM of 809 and 810

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

LCM of:
and

Least Common Multiple of 809 and 810

LCM of 809 and 810 is 655290

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 810. First we will calculate the prime factors of 809 and 810.

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 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 809 and 810.

LCM(809,810) = 21×34×51×8091
LCM(809,810) = 655290

Factors of 809

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

1, 809

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Least Common Multiple of 809 and 810 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 810, than apply into the LCM equation.

GCF(809,810) = 1
LCM(809,810) = ( 809 × 810) / 1
LCM(809,810) = 655290 / 1
LCM(809,810) = 655290

Properties of LCM 809 and 810

(i) The LCM of 810 and 809 is associative

LCM of 809 and 810 = LCM of 810 and 809

Related Least Common Multiples of 809

Related Least Common Multiples of 810

Frequently Asked Questions on LCM of 809 and 810

1. What is the LCM of 809 and 810?

Answer: LCM of 809 and 810 is 655290.

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 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

4. How to Find the LCM of 809 and 810?

Answer:

Least Common Multiple of 809 and 810 = 655290

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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

LCM = 655290 = 2 x 3 x 3 x 3 x 3 x 5 x 809

Step 4: Therefore, the least common multiple of 809 and 810 is 655290.