Least Common Multiple of 811 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 811 and 812 the smallest integer that is 658532 that is divisible by both numbers.

Least Common Multiple (LCM) of 811 and 812 is 658532.

LCM(811,812) = 658532

LCM of 811 and 812

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

LCM of:
and

Least Common Multiple of 811 and 812

LCM of 811 and 812 is 658532

Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 812. First we will calculate the prime factors of 811 and 812.

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 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 811 and 812.

LCM(811,812) = 22×71×291×8111
LCM(811,812) = 658532

Factors of 811

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

1, 811

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 811 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 811 and 812, than apply into the LCM equation.

GCF(811,812) = 1
LCM(811,812) = ( 811 × 812) / 1
LCM(811,812) = 658532 / 1
LCM(811,812) = 658532

Properties of LCM 811 and 812

(i) The LCM of 812 and 811 is associative

LCM of 811 and 812 = LCM of 812 and 811

Related Least Common Multiples of 811

Related Least Common Multiples of 812

Frequently Asked Questions on LCM of 811 and 812

1. What is the LCM of 811 and 812?

Answer: LCM of 811 and 812 is 658532.

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 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 811 and 812?

Answer:

Least Common Multiple of 811 and 812 = 658532

Step 1: Find the prime factorization of 811

811 = 811

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 = 658532 = 2 x 2 x 7 x 29 x 811

Step 4: Therefore, the least common multiple of 811 and 812 is 658532.