Least Common Multiple of 819 and 827
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 819 and 827 the smallest integer that is 677313 that is divisible by both numbers.
Least Common Multiple (LCM) of 819 and 827 is 677313.
LCM(819,827) = 677313
LCM of 819 and 827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 819 and 827 by Prime method
- Least Common Multiple of 819 and 827 with GCF Formula
LCM of 819 and 827 is 677313
Least common multiple can be found by multiplying the highest exponent prime factors of 819 and 827. First we will calculate the prime factors of 819 and 827.
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
Prime Factorization of 827
| 827 | 827 |
| 1 |
Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:
827 = 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 819 and 827.
LCM(819,827) = 32×71×131×8271
LCM(819,827) = 677313
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
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1, 827
Least Common Multiple of 819 and 827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 819 and 827, than apply into the LCM equation.
GCF(819,827) = 1
LCM(819,827) = ( 819 × 827) / 1
LCM(819,827) = 677313 / 1
LCM(819,827) = 677313
Properties of LCM 819 and 827
(i) The LCM of 827 and 819 is associative
LCM of 819 and 827 = LCM of 827 and 819
Related Least Common Multiples of 819
Related Least Common Multiples of 827
Frequently Asked Questions on LCM of 819 and 827
1. What is the LCM of 819 and 827?
Answer: LCM of 819 and 827 is 677313.
2. 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.
3. What are the Factors of 827?
Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.
4. How to Find the LCM of 819 and 827?
Answer:
Least Common Multiple of 819 and 827 = 677313
Step 1: Find the prime factorization of 819
819 = 3 x 3 x 7 x 13
Step 2: Find the prime factorization of 827
827 = 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 677313 = 3 x 3 x 7 x 13 x 827
Step 4: Therefore, the least common multiple of 819 and 827 is 677313.