Least Common Multiple of 817 and 823
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 823 the smallest integer that is 672391 that is divisible by both numbers.
Least Common Multiple (LCM) of 817 and 823 is 672391.
LCM(817,823) = 672391
LCM of 817 and 823
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 817 and 823 by Prime method
- Least Common Multiple of 817 and 823 with GCF Formula
LCM of 817 and 823 is 672391
Least common multiple can be found by multiplying the highest exponent prime factors of 817 and 823. First we will calculate the prime factors of 817 and 823.
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 823
| 823 | 823 |
| 1 |
Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:
823 = 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 817 and 823.
LCM(817,823) = 191×431×8231
LCM(817,823) = 672391
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1, 823
Least Common Multiple of 817 and 823 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 823, than apply into the LCM equation.
GCF(817,823) = 1
LCM(817,823) = ( 817 × 823) / 1
LCM(817,823) = 672391 / 1
LCM(817,823) = 672391
Properties of LCM 817 and 823
(i) The LCM of 823 and 817 is associative
LCM of 817 and 823 = LCM of 823 and 817
Related Least Common Multiples of 817
Related Least Common Multiples of 823
Frequently Asked Questions on LCM of 817 and 823
1. What is the LCM of 817 and 823?
Answer: LCM of 817 and 823 is 672391.
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 823?
Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.
4. How to Find the LCM of 817 and 823?
Answer:
Least Common Multiple of 817 and 823 = 672391
Step 1: Find the prime factorization of 817
817 = 19 x 43
Step 2: Find the prime factorization of 823
823 = 823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 672391 = 19 x 43 x 823
Step 4: Therefore, the least common multiple of 817 and 823 is 672391.