Least Common Multiple of 811 and 817

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 817 the smallest integer that is 662587 that is divisible by both numbers.

Least Common Multiple (LCM) of 811 and 817 is 662587.

LCM(811,817) = 662587

LCM of 811 and 817

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

LCM of:
and

Least Common Multiple of 811 and 817

LCM of 811 and 817 is 662587

Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 817. First we will calculate the prime factors of 811 and 817.

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 817


19 817
43 43
1

Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:

817 = 191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 811 and 817.

LCM(811,817) = 191×431×8111
LCM(811,817) = 662587

Factors of 811

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

1, 811

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Least Common Multiple of 811 and 817 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 817, than apply into the LCM equation.

GCF(811,817) = 1
LCM(811,817) = ( 811 × 817) / 1
LCM(811,817) = 662587 / 1
LCM(811,817) = 662587

Properties of LCM 811 and 817

(i) The LCM of 817 and 811 is associative

LCM of 811 and 817 = LCM of 817 and 811

Related Least Common Multiples of 811

Related Least Common Multiples of 817

Frequently Asked Questions on LCM of 811 and 817

1. What is the LCM of 811 and 817?

Answer: LCM of 811 and 817 is 662587.

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 817?

Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.

4. How to Find the LCM of 811 and 817?

Answer:

Least Common Multiple of 811 and 817 = 662587

Step 1: Find the prime factorization of 811

811 = 811

Step 2: Find the prime factorization of 817

817 = 19 x 43

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

LCM = 662587 = 19 x 43 x 811

Step 4: Therefore, the least common multiple of 811 and 817 is 662587.