Least Common Multiple of 812 and 814

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 814 the smallest integer that is 330484 that is divisible by both numbers.

Least Common Multiple (LCM) of 812 and 814 is 330484.

LCM(812,814) = 330484

LCM of 812 and 814

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

LCM of:
and

Least Common Multiple of 812 and 814

LCM of 812 and 814 is 330484

Least common multiple can be found by multiplying the highest exponent prime factors of 812 and 814. First we will calculate the prime factors of 812 and 814.

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 814


2 814
11 407
37 37
1

Prime factors of 814 are 2, 11,37. Prime factorization of 814 in exponential form is:

814 = 21×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 812 and 814.

LCM(812,814) = 22×71×111×291×371
LCM(812,814) = 330484

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 814

List of positive integer factors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Least Common Multiple of 812 and 814 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 814, than apply into the LCM equation.

GCF(812,814) = 2
LCM(812,814) = ( 812 × 814) / 2
LCM(812,814) = 660968 / 2
LCM(812,814) = 330484

Properties of LCM 812 and 814

(i) The LCM of 814 and 812 is associative

LCM of 812 and 814 = LCM of 814 and 812

Related Least Common Multiples of 812

Related Least Common Multiples of 814

Frequently Asked Questions on LCM of 812 and 814

1. What is the LCM of 812 and 814?

Answer: LCM of 812 and 814 is 330484.

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 814?

Answer: Factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814. There are 8 integers that are factors of 814. The greatest factor of 814 is 814.

4. How to Find the LCM of 812 and 814?

Answer:

Least Common Multiple of 812 and 814 = 330484

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 814

814 = 2 x 11 x 37

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

LCM = 330484 = 2 x 2 x 7 x 11 x 29 x 37

Step 4: Therefore, the least common multiple of 812 and 814 is 330484.