Least Common Multiple of 814 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 814 and 819 the smallest integer that is 666666 that is divisible by both numbers.

Least Common Multiple (LCM) of 814 and 819 is 666666.

LCM(814,819) = 666666

LCM of 814 and 819

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

LCM of:
and

Least Common Multiple of 814 and 819

LCM of 814 and 819 is 666666

Least common multiple can be found by multiplying the highest exponent prime factors of 814 and 819. First we will calculate the prime factors of 814 and 819.

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

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 814 and 819.

LCM(814,819) = 21×32×71×111×131×371
LCM(814,819) = 666666

Factors of 814

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

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

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 814 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 814 and 819, than apply into the LCM equation.

GCF(814,819) = 1
LCM(814,819) = ( 814 × 819) / 1
LCM(814,819) = 666666 / 1
LCM(814,819) = 666666

Properties of LCM 814 and 819

(i) The LCM of 819 and 814 is associative

LCM of 814 and 819 = LCM of 819 and 814

Related Least Common Multiples of 814

Related Least Common Multiples of 819

Frequently Asked Questions on LCM of 814 and 819

1. What is the LCM of 814 and 819?

Answer: LCM of 814 and 819 is 666666.

2. 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.

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 814 and 819?

Answer:

Least Common Multiple of 814 and 819 = 666666

Step 1: Find the prime factorization of 814

814 = 2 x 11 x 37

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 = 666666 = 2 x 3 x 3 x 7 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 814 and 819 is 666666.