Least Common Multiple of 815 and 817
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 817 the smallest integer that is 665855 that is divisible by both numbers.
Least Common Multiple (LCM) of 815 and 817 is 665855.
LCM(815,817) = 665855
LCM of 815 and 817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 815 and 817 by Prime method
- Least Common Multiple of 815 and 817 with GCF Formula
LCM of 815 and 817 is 665855
Least common multiple can be found by multiplying the highest exponent prime factors of 815 and 817. First we will calculate the prime factors of 815 and 817.
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 817
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:
817 = 191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 815 and 817.
LCM(815,817) = 51×191×431×1631
LCM(815,817) = 665855
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Least Common Multiple of 815 and 817 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 817, than apply into the LCM equation.
GCF(815,817) = 1
LCM(815,817) = ( 815 × 817) / 1
LCM(815,817) = 665855 / 1
LCM(815,817) = 665855
Properties of LCM 815 and 817
(i) The LCM of 817 and 815 is associative
LCM of 815 and 817 = LCM of 817 and 815
Related Least Common Multiples of 815
Related Least Common Multiples of 817
Frequently Asked Questions on LCM of 815 and 817
1. What is the LCM of 815 and 817?
Answer: LCM of 815 and 817 is 665855.
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 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.
4. How to Find the LCM of 815 and 817?
Answer:
Least Common Multiple of 815 and 817 = 665855
Step 1: Find the prime factorization of 815
815 = 5 x 163
Step 2: Find the prime factorization of 817
817 = 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 665855 = 5 x 19 x 43 x 163
Step 4: Therefore, the least common multiple of 815 and 817 is 665855.