Least Common Multiple of 817 and 821
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 821 the smallest integer that is 670757 that is divisible by both numbers.
Least Common Multiple (LCM) of 817 and 821 is 670757.
LCM(817,821) = 670757
LCM of 817 and 821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 817 and 821 by Prime method
- Least Common Multiple of 817 and 821 with GCF Formula
LCM of 817 and 821 is 670757
Least common multiple can be found by multiplying the highest exponent prime factors of 817 and 821. First we will calculate the prime factors of 817 and 821.
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 821
| 821 | 821 |
| 1 |
Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:
821 = 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 817 and 821.
LCM(817,821) = 191×431×8211
LCM(817,821) = 670757
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1, 821
Least Common Multiple of 817 and 821 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 821, than apply into the LCM equation.
GCF(817,821) = 1
LCM(817,821) = ( 817 × 821) / 1
LCM(817,821) = 670757 / 1
LCM(817,821) = 670757
Properties of LCM 817 and 821
(i) The LCM of 821 and 817 is associative
LCM of 817 and 821 = LCM of 821 and 817
Related Least Common Multiples of 817
Related Least Common Multiples of 821
Frequently Asked Questions on LCM of 817 and 821
1. What is the LCM of 817 and 821?
Answer: LCM of 817 and 821 is 670757.
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 821?
Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.
4. How to Find the LCM of 817 and 821?
Answer:
Least Common Multiple of 817 and 821 = 670757
Step 1: Find the prime factorization of 817
817 = 19 x 43
Step 2: Find the prime factorization of 821
821 = 821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 670757 = 19 x 43 x 821
Step 4: Therefore, the least common multiple of 817 and 821 is 670757.