Least Common Multiple of 809 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 809 and 817 the smallest integer that is 660953 that is divisible by both numbers.
Least Common Multiple (LCM) of 809 and 817 is 660953.
LCM(809,817) = 660953
LCM of 809 and 817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 809 and 817 by Prime method
- Least Common Multiple of 809 and 817 with GCF Formula
LCM of 809 and 817 is 660953
Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 817. First we will calculate the prime factors of 809 and 817.
Prime Factorization of 809
| 809 | 809 |
| 1 |
Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:
809 = 8091
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 809 and 817.
LCM(809,817) = 191×431×8091
LCM(809,817) = 660953
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1, 809
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Least Common Multiple of 809 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 809 and 817, than apply into the LCM equation.
GCF(809,817) = 1
LCM(809,817) = ( 809 × 817) / 1
LCM(809,817) = 660953 / 1
LCM(809,817) = 660953
Properties of LCM 809 and 817
(i) The LCM of 817 and 809 is associative
LCM of 809 and 817 = LCM of 817 and 809
Related Least Common Multiples of 809
Related Least Common Multiples of 817
Frequently Asked Questions on LCM of 809 and 817
1. What is the LCM of 809 and 817?
Answer: LCM of 809 and 817 is 660953.
2. What are the Factors of 809?
Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.
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 809 and 817?
Answer:
Least Common Multiple of 809 and 817 = 660953
Step 1: Find the prime factorization of 809
809 = 809
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 = 660953 = 19 x 43 x 809
Step 4: Therefore, the least common multiple of 809 and 817 is 660953.