Least Common Multiple of 811 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 811 and 817 the smallest integer that is 662587 that is divisible by both numbers.
Least Common Multiple (LCM) of 811 and 817 is 662587.
LCM(811,817) = 662587
LCM of 811 and 817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 811 and 817 by Prime method
- Least Common Multiple of 811 and 817 with GCF Formula
LCM of 811 and 817 is 662587
Least common multiple can be found by multiplying the highest exponent prime factors of 811 and 817. First we will calculate the prime factors of 811 and 817.
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 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 811 and 817.
LCM(811,817) = 191×431×8111
LCM(811,817) = 662587
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1, 811
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Least Common Multiple of 811 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 811 and 817, than apply into the LCM equation.
GCF(811,817) = 1
LCM(811,817) = ( 811 × 817) / 1
LCM(811,817) = 662587 / 1
LCM(811,817) = 662587
Properties of LCM 811 and 817
(i) The LCM of 817 and 811 is associative
LCM of 811 and 817 = LCM of 817 and 811
Related Least Common Multiples of 811
Related Least Common Multiples of 817
Frequently Asked Questions on LCM of 811 and 817
1. What is the LCM of 811 and 817?
Answer: LCM of 811 and 817 is 662587.
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 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 811 and 817?
Answer:
Least Common Multiple of 811 and 817 = 662587
Step 1: Find the prime factorization of 811
811 = 811
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 = 662587 = 19 x 43 x 811
Step 4: Therefore, the least common multiple of 811 and 817 is 662587.