Least Common Multiple of 813 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 813 and 817 the smallest integer that is 664221 that is divisible by both numbers.
Least Common Multiple (LCM) of 813 and 817 is 664221.
LCM(813,817) = 664221
LCM of 813 and 817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 813 and 817 by Prime method
- Least Common Multiple of 813 and 817 with GCF Formula
LCM of 813 and 817 is 664221
Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 817. First we will calculate the prime factors of 813 and 817.
Prime Factorization of 813
| 3 | 813 |
| 271 | 271 |
| 1 |
Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:
813 = 31×2711
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 813 and 817.
LCM(813,817) = 31×191×431×2711
LCM(813,817) = 664221
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Least Common Multiple of 813 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 813 and 817, than apply into the LCM equation.
GCF(813,817) = 1
LCM(813,817) = ( 813 × 817) / 1
LCM(813,817) = 664221 / 1
LCM(813,817) = 664221
Properties of LCM 813 and 817
(i) The LCM of 817 and 813 is associative
LCM of 813 and 817 = LCM of 817 and 813
Related Least Common Multiples of 813
Related Least Common Multiples of 817
Frequently Asked Questions on LCM of 813 and 817
1. What is the LCM of 813 and 817?
Answer: LCM of 813 and 817 is 664221.
2. What are the Factors of 813?
Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.
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 813 and 817?
Answer:
Least Common Multiple of 813 and 817 = 664221
Step 1: Find the prime factorization of 813
813 = 3 x 271
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 = 664221 = 3 x 19 x 43 x 271
Step 4: Therefore, the least common multiple of 813 and 817 is 664221.