Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5819 and 5827 the smallest integer that is 33907313 that is divisible by both numbers.
Least Common Multiple (LCM) of 5819 and 5827 is 33907313.
LCM(5819,5827) = 33907313
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 5819 and 5827. First we will calculate the prime factors of 5819 and 5827.
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
Prime Factorization of 5827
5827 | 5827 |
1 |
Prime factors of 5827 are 5827. Prime factorization of 5827 in exponential form is:
5827 = 58271
Now multiplying the highest exponent prime factors to calculate the LCM of 5819 and 5827.
LCM(5819,5827) = 111×232×58271
LCM(5819,5827) = 33907313
Factors of 5819
List of positive integer factors of 5819 that divides 5819 without a remainder.
1, 11, 23, 253, 529, 5819
Factors of 5827
List of positive integer factors of 5827 that divides 5827 without a remainder.
1, 5827
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5819 and 5827, than apply into the LCM equation.
GCF(5819,5827) = 1
LCM(5819,5827) = ( 5819 × 5827) / 1
LCM(5819,5827) = 33907313 / 1
LCM(5819,5827) = 33907313
(i) The LCM of 5827 and 5819 is associative
LCM of 5819 and 5827 = LCM of 5827 and 5819
1. What is the LCM of 5819 and 5827?
Answer: LCM of 5819 and 5827 is 33907313.
2. 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.
3. What are the Factors of 5827?
Answer: Factors of 5827 are 1, 5827. There are 2 integers that are factors of 5827. The greatest factor of 5827 is 5827.
4. How to Find the LCM of 5819 and 5827?
Answer:
Least Common Multiple of 5819 and 5827 = 33907313
Step 1: Find the prime factorization of 5819
5819 = 11 x 23 x 23
Step 2: Find the prime factorization of 5827
5827 = 5827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33907313 = 11 x 23 x 23 x 5827
Step 4: Therefore, the least common multiple of 5819 and 5827 is 33907313.