Least Common Multiple of 810 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 810 and 817 the smallest integer that is 661770 that is divisible by both numbers.
Least Common Multiple (LCM) of 810 and 817 is 661770.
LCM(810,817) = 661770
LCM of 810 and 817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 810 and 817 by Prime method
- Least Common Multiple of 810 and 817 with GCF Formula
LCM of 810 and 817 is 661770
Least common multiple can be found by multiplying the highest exponent prime factors of 810 and 817. First we will calculate the prime factors of 810 and 817.
Prime Factorization of 810
| 2 | 810 |
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:
810 = 21×34×51
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 810 and 817.
LCM(810,817) = 21×34×51×191×431
LCM(810,817) = 661770
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Least Common Multiple of 810 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 810 and 817, than apply into the LCM equation.
GCF(810,817) = 1
LCM(810,817) = ( 810 × 817) / 1
LCM(810,817) = 661770 / 1
LCM(810,817) = 661770
Properties of LCM 810 and 817
(i) The LCM of 817 and 810 is associative
LCM of 810 and 817 = LCM of 817 and 810
Related Least Common Multiples of 810
Related Least Common Multiples of 817
Frequently Asked Questions on LCM of 810 and 817
1. What is the LCM of 810 and 817?
Answer: LCM of 810 and 817 is 661770.
2. What are the Factors of 810?
Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.
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 810 and 817?
Answer:
Least Common Multiple of 810 and 817 = 661770
Step 1: Find the prime factorization of 810
810 = 2 x 3 x 3 x 3 x 3 x 5
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 = 661770 = 2 x 3 x 3 x 3 x 3 x 5 x 19 x 43
Step 4: Therefore, the least common multiple of 810 and 817 is 661770.