Least Common Multiple of 5817 and 5822
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5817 and 5822 the smallest integer that is 33866574 that is divisible by both numbers.
Least Common Multiple (LCM) of 5817 and 5822 is 33866574.
LCM(5817,5822) = 33866574
LCM of 5817 and 5822
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5817 and 5822 by Prime method
- Least Common Multiple of 5817 and 5822 with GCF Formula
LCM of 5817 and 5822 is 33866574
Least common multiple can be found by multiplying the highest exponent prime factors of 5817 and 5822. First we will calculate the prime factors of 5817 and 5822.
Prime Factorization of 5817
| 3 | 5817 |
| 7 | 1939 |
| 277 | 277 |
| 1 |
Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:
5817 = 31×71×2771
Prime Factorization of 5822
| 2 | 5822 |
| 41 | 2911 |
| 71 | 71 |
| 1 |
Prime factors of 5822 are 2, 41,71. Prime factorization of 5822 in exponential form is:
5822 = 21×411×711
Now multiplying the highest exponent prime factors to calculate the LCM of 5817 and 5822.
LCM(5817,5822) = 21×31×71×411×711×2771
LCM(5817,5822) = 33866574
Factors of 5817
List of positive integer factors of 5817 that divides 5817 without a remainder.
1, 3, 7, 21, 277, 831, 1939, 5817
Factors of 5822
List of positive integer factors of 5822 that divides 5822 without a remainder.
1, 2, 41, 71, 82, 142, 2911, 5822
Least Common Multiple of 5817 and 5822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5817 and 5822, than apply into the LCM equation.
GCF(5817,5822) = 1
LCM(5817,5822) = ( 5817 × 5822) / 1
LCM(5817,5822) = 33866574 / 1
LCM(5817,5822) = 33866574
Properties of LCM 5817 and 5822
(i) The LCM of 5822 and 5817 is associative
LCM of 5817 and 5822 = LCM of 5822 and 5817
Related Least Common Multiples of 5817
Related Least Common Multiples of 5822
Frequently Asked Questions on LCM of 5817 and 5822
1. What is the LCM of 5817 and 5822?
Answer: LCM of 5817 and 5822 is 33866574.
2. What are the Factors of 5817?
Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.
3. What are the Factors of 5822?
Answer: Factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822. There are 8 integers that are factors of 5822. The greatest factor of 5822 is 5822.
4. How to Find the LCM of 5817 and 5822?
Answer:
Least Common Multiple of 5817 and 5822 = 33866574
Step 1: Find the prime factorization of 5817
5817 = 3 x 7 x 277
Step 2: Find the prime factorization of 5822
5822 = 2 x 41 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33866574 = 2 x 3 x 7 x 41 x 71 x 277
Step 4: Therefore, the least common multiple of 5817 and 5822 is 33866574.