Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 811 and 819 the smallest integer that is 664209 that is divisible by both numbers.
Least Common Multiple (LCM) of 811 and 819 is 664209.
LCM(811,819) = 664209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 819. First we will calculate the prime factors of 811 and 819.
Prime Factorization of 811
811 | 811 |
1 |
Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:
811 = 8111
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 811 and 819.
LCM(811,819) = 32×71×131×8111
LCM(811,819) = 664209
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1, 811
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 811 and 819, than apply into the LCM equation.
GCF(811,819) = 1
LCM(811,819) = ( 811 × 819) / 1
LCM(811,819) = 664209 / 1
LCM(811,819) = 664209
(i) The LCM of 819 and 811 is associative
LCM of 811 and 819 = LCM of 819 and 811
1. What is the LCM of 811 and 819?
Answer: LCM of 811 and 819 is 664209.
2. What are the Factors of 811?
Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.
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 811 and 819?
Answer:
Least Common Multiple of 811 and 819 = 664209
Step 1: Find the prime factorization of 811
811 = 811
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 = 664209 = 3 x 3 x 7 x 13 x 811
Step 4: Therefore, the least common multiple of 811 and 819 is 664209.