Least Common Multiple of 812 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 812 and 817 the smallest integer that is 663404 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 817 is 663404.

LCM(812,817) = 663404

LCM of 812 and 817

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

LCM of:
and

Least Common Multiple of 812 and 817

LCM of 812 and 817 is 663404

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 817. First we will calculate the prime factors of 812 and 817.

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

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 812 and 817.

LCM(812,817) = 22×71×191×291×431
LCM(812,817) = 663404

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

Factors of 817

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

1, 19, 43, 817

Least Common Multiple of 812 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 812 and 817, than apply into the LCM equation.

GCF(812,817) = 1
LCM(812,817) = ( 812 × 817) / 1
LCM(812,817) = 663404 / 1
LCM(812,817) = 663404

Properties of LCM 812 and 817

(i) The LCM of 817 and 812 is associative

LCM of 812 and 817 = LCM of 817 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 817

Frequently Asked Questions on LCM of 812 and 817

1. What is the LCM of 812 and 817?

Answer: LCM of 812 and 817 is 663404.

2. 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.

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 812 and 817?

Answer:

Least Common Multiple of 812 and 817 = 663404

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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 = 663404 = 2 x 2 x 7 x 19 x 29 x 43

Step 4: Therefore, the least common multiple of 812 and 817 is 663404.