Least Common Multiple of 810 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 810 and 813 the smallest integer that is 219510 that is divisible by both numbers.

Least Common Multiple (LCM) of 810 and 813 is 219510.

LCM(810,813) = 219510

LCM of 810 and 813

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

LCM of:
and

Least Common Multiple of 810 and 813

LCM of 810 and 813 is 219510

Least common multiple can be found by multiplying the highest exponent prime factors of 810 and 813. First we will calculate the prime factors of 810 and 813.

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

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 810 and 813.

LCM(810,813) = 21×34×51×2711
LCM(810,813) = 219510

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

Factors of 813

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

1, 3, 271, 813

Least Common Multiple of 810 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 810 and 813, than apply into the LCM equation.

GCF(810,813) = 3
LCM(810,813) = ( 810 × 813) / 3
LCM(810,813) = 658530 / 3
LCM(810,813) = 219510

Properties of LCM 810 and 813

(i) The LCM of 813 and 810 is associative

LCM of 810 and 813 = LCM of 813 and 810

Related Least Common Multiples of 810

Related Least Common Multiples of 813

Frequently Asked Questions on LCM of 810 and 813

1. What is the LCM of 810 and 813?

Answer: LCM of 810 and 813 is 219510.

2. 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.

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 810 and 813?

Answer:

Least Common Multiple of 810 and 813 = 219510

Step 1: Find the prime factorization of 810

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

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 = 219510 = 2 x 3 x 3 x 3 x 3 x 5 x 271

Step 4: Therefore, the least common multiple of 810 and 813 is 219510.