Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5798 and 5804 the smallest integer that is 16825796 that is divisible by both numbers.
Least Common Multiple (LCM) of 5798 and 5804 is 16825796.
LCM(5798,5804) = 16825796
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 5798 and 5804. First we will calculate the prime factors of 5798 and 5804.
Prime Factorization of 5798
2 | 5798 |
13 | 2899 |
223 | 223 |
1 |
Prime factors of 5798 are 2, 13,223. Prime factorization of 5798 in exponential form is:
5798 = 21×131×2231
Prime Factorization of 5804
2 | 5804 |
2 | 2902 |
1451 | 1451 |
1 |
Prime factors of 5804 are 2,1451. Prime factorization of 5804 in exponential form is:
5804 = 22×14511
Now multiplying the highest exponent prime factors to calculate the LCM of 5798 and 5804.
LCM(5798,5804) = 22×131×2231×14511
LCM(5798,5804) = 16825796
Factors of 5798
List of positive integer factors of 5798 that divides 5798 without a remainder.
1, 2, 13, 26, 223, 446, 2899, 5798
Factors of 5804
List of positive integer factors of 5804 that divides 5804 without a remainder.
1, 2, 4, 1451, 2902, 5804
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5798 and 5804, than apply into the LCM equation.
GCF(5798,5804) = 2
LCM(5798,5804) = ( 5798 × 5804) / 2
LCM(5798,5804) = 33651592 / 2
LCM(5798,5804) = 16825796
(i) The LCM of 5804 and 5798 is associative
LCM of 5798 and 5804 = LCM of 5804 and 5798
1. What is the LCM of 5798 and 5804?
Answer: LCM of 5798 and 5804 is 16825796.
2. What are the Factors of 5798?
Answer: Factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798. There are 8 integers that are factors of 5798. The greatest factor of 5798 is 5798.
3. What are the Factors of 5804?
Answer: Factors of 5804 are 1, 2, 4, 1451, 2902, 5804. There are 6 integers that are factors of 5804. The greatest factor of 5804 is 5804.
4. How to Find the LCM of 5798 and 5804?
Answer:
Least Common Multiple of 5798 and 5804 = 16825796
Step 1: Find the prime factorization of 5798
5798 = 2 x 13 x 223
Step 2: Find the prime factorization of 5804
5804 = 2 x 2 x 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16825796 = 2 x 2 x 13 x 223 x 1451
Step 4: Therefore, the least common multiple of 5798 and 5804 is 16825796.