Least Common Multiple of 813 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 813 and 819 the smallest integer that is 221949 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 819 is 221949.

LCM(813,819) = 221949

LCM of 813 and 819

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

LCM of:
and

Least Common Multiple of 813 and 819

LCM of 813 and 819 is 221949

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 819. First we will calculate the prime factors of 813 and 819.

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

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 813 and 819.

LCM(813,819) = 32×71×131×2711
LCM(813,819) = 221949

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

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 813 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 813 and 819, than apply into the LCM equation.

GCF(813,819) = 3
LCM(813,819) = ( 813 × 819) / 3
LCM(813,819) = 665847 / 3
LCM(813,819) = 221949

Properties of LCM 813 and 819

(i) The LCM of 819 and 813 is associative

LCM of 813 and 819 = LCM of 819 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 819

Frequently Asked Questions on LCM of 813 and 819

1. What is the LCM of 813 and 819?

Answer: LCM of 813 and 819 is 221949.

2. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

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 813 and 819?

Answer:

Least Common Multiple of 813 and 819 = 221949

Step 1: Find the prime factorization of 813

813 = 3 x 271

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 = 221949 = 3 x 3 x 7 x 13 x 271

Step 4: Therefore, the least common multiple of 813 and 819 is 221949.