Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5828 and 5836 the smallest integer that is 8503052 that is divisible by both numbers.
Least Common Multiple (LCM) of 5828 and 5836 is 8503052.
LCM(5828,5836) = 8503052
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 5828 and 5836. First we will calculate the prime factors of 5828 and 5836.
Prime Factorization of 5828
2 | 5828 |
2 | 2914 |
31 | 1457 |
47 | 47 |
1 |
Prime factors of 5828 are 2, 31,47. Prime factorization of 5828 in exponential form is:
5828 = 22×311×471
Prime Factorization of 5836
2 | 5836 |
2 | 2918 |
1459 | 1459 |
1 |
Prime factors of 5836 are 2,1459. Prime factorization of 5836 in exponential form is:
5836 = 22×14591
Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5836.
LCM(5828,5836) = 22×311×471×14591
LCM(5828,5836) = 8503052
Factors of 5828
List of positive integer factors of 5828 that divides 5828 without a remainder.
1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828
Factors of 5836
List of positive integer factors of 5836 that divides 5836 without a remainder.
1, 2, 4, 1459, 2918, 5836
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5828 and 5836, than apply into the LCM equation.
GCF(5828,5836) = 4
LCM(5828,5836) = ( 5828 × 5836) / 4
LCM(5828,5836) = 34012208 / 4
LCM(5828,5836) = 8503052
(i) The LCM of 5836 and 5828 is associative
LCM of 5828 and 5836 = LCM of 5836 and 5828
1. What is the LCM of 5828 and 5836?
Answer: LCM of 5828 and 5836 is 8503052.
2. What are the Factors of 5828?
Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.
3. What are the Factors of 5836?
Answer: Factors of 5836 are 1, 2, 4, 1459, 2918, 5836. There are 6 integers that are factors of 5836. The greatest factor of 5836 is 5836.
4. How to Find the LCM of 5828 and 5836?
Answer:
Least Common Multiple of 5828 and 5836 = 8503052
Step 1: Find the prime factorization of 5828
5828 = 2 x 2 x 31 x 47
Step 2: Find the prime factorization of 5836
5836 = 2 x 2 x 1459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8503052 = 2 x 2 x 31 x 47 x 1459
Step 4: Therefore, the least common multiple of 5828 and 5836 is 8503052.