Least Common Multiple of 812 and 819

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 819 the smallest integer that is 95004 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 819 is 95004.

LCM(812,819) = 95004

LCM of 812 and 819

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

LCM of:
and

Least Common Multiple of 812 and 819

LCM of 812 and 819 is 95004

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 819. First we will calculate the prime factors of 812 and 819.

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 819


3 819
3 273
7 91
13 13
1

Prime factors of 819 are 3, 7,13. Prime factorization of 819 in exponential form is:

819 = 32×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 812 and 819.

LCM(812,819) = 22×32×71×131×291
LCM(812,819) = 95004

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 819

List of positive integer factors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Least Common Multiple of 812 and 819 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 819, than apply into the LCM equation.

GCF(812,819) = 7
LCM(812,819) = ( 812 × 819) / 7
LCM(812,819) = 665028 / 7
LCM(812,819) = 95004

Properties of LCM 812 and 819

(i) The LCM of 819 and 812 is associative

LCM of 812 and 819 = LCM of 819 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 819

Frequently Asked Questions on LCM of 812 and 819

1. What is the LCM of 812 and 819?

Answer: LCM of 812 and 819 is 95004.

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 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.

4. How to Find the LCM of 812 and 819?

Answer:

Least Common Multiple of 812 and 819 = 95004

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 819

819 = 3 x 3 x 7 x 13

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

LCM = 95004 = 2 x 2 x 3 x 3 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 812 and 819 is 95004.