Least Common Multiple of 815 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 815 and 819 the smallest integer that is 667485 that is divisible by both numbers.
Least Common Multiple (LCM) of 815 and 819 is 667485.
LCM(815,819) = 667485
LCM of 815 and 819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 815 and 819 by Prime method
- Least Common Multiple of 815 and 819 with GCF Formula
LCM of 815 and 819 is 667485
Least common multiple can be found by multiplying the highest exponent prime factors of 815 and 819. First we will calculate the prime factors of 815 and 819.
Prime Factorization of 815
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:
815 = 51×1631
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 815 and 819.
LCM(815,819) = 32×51×71×131×1631
LCM(815,819) = 667485
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1, 5, 163, 815
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 815 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 815 and 819, than apply into the LCM equation.
GCF(815,819) = 1
LCM(815,819) = ( 815 × 819) / 1
LCM(815,819) = 667485 / 1
LCM(815,819) = 667485
Properties of LCM 815 and 819
(i) The LCM of 819 and 815 is associative
LCM of 815 and 819 = LCM of 819 and 815
Related Least Common Multiples of 815
Related Least Common Multiples of 819
Frequently Asked Questions on LCM of 815 and 819
1. What is the LCM of 815 and 819?
Answer: LCM of 815 and 819 is 667485.
2. What are the Factors of 815?
Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.
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 815 and 819?
Answer:
Least Common Multiple of 815 and 819 = 667485
Step 1: Find the prime factorization of 815
815 = 5 x 163
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 = 667485 = 3 x 3 x 5 x 7 x 13 x 163
Step 4: Therefore, the least common multiple of 815 and 819 is 667485.