Least Common Multiple of 818 and 819
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 818 and 819 the smallest integer that is 669942 that is divisible by both numbers.
Least Common Multiple (LCM) of 818 and 819 is 669942.
LCM(818,819) = 669942
LCM of 818 and 819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 818 and 819 by Prime method
- Least Common Multiple of 818 and 819 with GCF Formula
LCM of 818 and 819 is 669942
Least common multiple can be found by multiplying the highest exponent prime factors of 818 and 819. First we will calculate the prime factors of 818 and 819.
Prime Factorization of 818
| 2 | 818 |
| 409 | 409 |
| 1 |
Prime factors of 818 are 2,409. Prime factorization of 818 in exponential form is:
818 = 21×4091
Prime Factorization of 819
| 3 | 819 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 819 are 3, 7,13. Prime factorization of 819 in exponential form is:
819 = 32×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 818 and 819.
LCM(818,819) = 21×32×71×131×4091
LCM(818,819) = 669942
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Least Common Multiple of 818 and 819 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 818 and 819, than apply into the LCM equation.
GCF(818,819) = 1
LCM(818,819) = ( 818 × 819) / 1
LCM(818,819) = 669942 / 1
LCM(818,819) = 669942
Properties of LCM 818 and 819
(i) The LCM of 819 and 818 is associative
LCM of 818 and 819 = LCM of 819 and 818
Related Least Common Multiples of 818
Related Least Common Multiples of 819
Frequently Asked Questions on LCM of 818 and 819
1. What is the LCM of 818 and 819?
Answer: LCM of 818 and 819 is 669942.
2. What are the Factors of 818?
Answer: Factors of 818 are 1, 2, 409, 818. There are 4 integers that are factors of 818. The greatest factor of 818 is 818.
3. What are the Factors of 819?
Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.
4. How to Find the LCM of 818 and 819?
Answer:
Least Common Multiple of 818 and 819 = 669942
Step 1: Find the prime factorization of 818
818 = 2 x 409
Step 2: Find the prime factorization of 819
819 = 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 669942 = 2 x 3 x 3 x 7 x 13 x 409
Step 4: Therefore, the least common multiple of 818 and 819 is 669942.