Least Common Multiple of 811 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 811 and 813 the smallest integer that is 659343 that is divisible by both numbers.

Least Common Multiple (LCM) of 811 and 813 is 659343.

LCM(811,813) = 659343

LCM of 811 and 813

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

LCM of:
and

Least Common Multiple of 811 and 813

LCM of 811 and 813 is 659343

Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 813. First we will calculate the prime factors of 811 and 813.

Prime Factorization of 811


811 811
1

Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:

811 = 8111

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 811 and 813.

LCM(811,813) = 31×2711×8111
LCM(811,813) = 659343

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1, 811

Factors of 813

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

1, 3, 271, 813

Least Common Multiple of 811 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 811 and 813, than apply into the LCM equation.

GCF(811,813) = 1
LCM(811,813) = ( 811 × 813) / 1
LCM(811,813) = 659343 / 1
LCM(811,813) = 659343

Properties of LCM 811 and 813

(i) The LCM of 813 and 811 is associative

LCM of 811 and 813 = LCM of 813 and 811

Related Least Common Multiples of 811

Related Least Common Multiples of 813

Frequently Asked Questions on LCM of 811 and 813

1. What is the LCM of 811 and 813?

Answer: LCM of 811 and 813 is 659343.

2. What are the Factors of 811?

Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.

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 811 and 813?

Answer:

Least Common Multiple of 811 and 813 = 659343

Step 1: Find the prime factorization of 811

811 = 811

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 = 659343 = 3 x 271 x 811

Step 4: Therefore, the least common multiple of 811 and 813 is 659343.