Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5813 and 5819 the smallest integer that is 33825847 that is divisible by both numbers.
Least Common Multiple (LCM) of 5813 and 5819 is 33825847.
LCM(5813,5819) = 33825847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5813 and 5819. First we will calculate the prime factors of 5813 and 5819.
Prime Factorization of 5813
5813 | 5813 |
1 |
Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:
5813 = 58131
Prime Factorization of 5819
11 | 5819 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 5819 are 11,23. Prime factorization of 5819 in exponential form is:
5819 = 111×232
Now multiplying the highest exponent prime factors to calculate the LCM of 5813 and 5819.
LCM(5813,5819) = 111×232×58131
LCM(5813,5819) = 33825847
Factors of 5813
List of positive integer factors of 5813 that divides 5813 without a remainder.
1, 5813
Factors of 5819
List of positive integer factors of 5819 that divides 5819 without a remainder.
1, 11, 23, 253, 529, 5819
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5813 and 5819, than apply into the LCM equation.
GCF(5813,5819) = 1
LCM(5813,5819) = ( 5813 × 5819) / 1
LCM(5813,5819) = 33825847 / 1
LCM(5813,5819) = 33825847
(i) The LCM of 5819 and 5813 is associative
LCM of 5813 and 5819 = LCM of 5819 and 5813
1. What is the LCM of 5813 and 5819?
Answer: LCM of 5813 and 5819 is 33825847.
2. What are the Factors of 5813?
Answer: Factors of 5813 are 1, 5813. There are 2 integers that are factors of 5813. The greatest factor of 5813 is 5813.
3. What are the Factors of 5819?
Answer: Factors of 5819 are 1, 11, 23, 253, 529, 5819. There are 6 integers that are factors of 5819. The greatest factor of 5819 is 5819.
4. How to Find the LCM of 5813 and 5819?
Answer:
Least Common Multiple of 5813 and 5819 = 33825847
Step 1: Find the prime factorization of 5813
5813 = 5813
Step 2: Find the prime factorization of 5819
5819 = 11 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33825847 = 11 x 23 x 23 x 5813
Step 4: Therefore, the least common multiple of 5813 and 5819 is 33825847.