Least Common Multiple of 817 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 817 and 819 the smallest integer that is 669123 that is divisible by both numbers.
Least Common Multiple (LCM) of 817 and 819 is 669123.
LCM(817,819) = 669123
LCM of 817 and 819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 817 and 819 by Prime method
- Least Common Multiple of 817 and 819 with GCF Formula
LCM of 817 and 819 is 669123
Least common multiple can be found by multiplying the highest exponent prime factors of 817 and 819. First we will calculate the prime factors of 817 and 819.
Prime Factorization of 817
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:
817 = 191×431
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 817 and 819.
LCM(817,819) = 32×71×131×191×431
LCM(817,819) = 669123
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
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 817 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 817 and 819, than apply into the LCM equation.
GCF(817,819) = 1
LCM(817,819) = ( 817 × 819) / 1
LCM(817,819) = 669123 / 1
LCM(817,819) = 669123
Properties of LCM 817 and 819
(i) The LCM of 819 and 817 is associative
LCM of 817 and 819 = LCM of 819 and 817
Related Least Common Multiples of 817
Related Least Common Multiples of 819
Frequently Asked Questions on LCM of 817 and 819
1. What is the LCM of 817 and 819?
Answer: LCM of 817 and 819 is 669123.
2. What are the Factors of 817?
Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.
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 817 and 819?
Answer:
Least Common Multiple of 817 and 819 = 669123
Step 1: Find the prime factorization of 817
817 = 19 x 43
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 = 669123 = 3 x 3 x 7 x 13 x 19 x 43
Step 4: Therefore, the least common multiple of 817 and 819 is 669123.
