Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5786 and 5793 the smallest integer that is 33518298 that is divisible by both numbers.
Least Common Multiple (LCM) of 5786 and 5793 is 33518298.
LCM(5786,5793) = 33518298
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 5786 and 5793. First we will calculate the prime factors of 5786 and 5793.
Prime Factorization of 5786
2 | 5786 |
11 | 2893 |
263 | 263 |
1 |
Prime factors of 5786 are 2, 11,263. Prime factorization of 5786 in exponential form is:
5786 = 21×111×2631
Prime Factorization of 5793
3 | 5793 |
1931 | 1931 |
1 |
Prime factors of 5793 are 3,1931. Prime factorization of 5793 in exponential form is:
5793 = 31×19311
Now multiplying the highest exponent prime factors to calculate the LCM of 5786 and 5793.
LCM(5786,5793) = 21×31×111×2631×19311
LCM(5786,5793) = 33518298
Factors of 5786
List of positive integer factors of 5786 that divides 5786 without a remainder.
1, 2, 11, 22, 263, 526, 2893, 5786
Factors of 5793
List of positive integer factors of 5793 that divides 5793 without a remainder.
1, 3, 1931, 5793
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5786 and 5793, than apply into the LCM equation.
GCF(5786,5793) = 1
LCM(5786,5793) = ( 5786 × 5793) / 1
LCM(5786,5793) = 33518298 / 1
LCM(5786,5793) = 33518298
(i) The LCM of 5793 and 5786 is associative
LCM of 5786 and 5793 = LCM of 5793 and 5786
1. What is the LCM of 5786 and 5793?
Answer: LCM of 5786 and 5793 is 33518298.
2. What are the Factors of 5786?
Answer: Factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786. There are 8 integers that are factors of 5786. The greatest factor of 5786 is 5786.
3. What are the Factors of 5793?
Answer: Factors of 5793 are 1, 3, 1931, 5793. There are 4 integers that are factors of 5793. The greatest factor of 5793 is 5793.
4. How to Find the LCM of 5786 and 5793?
Answer:
Least Common Multiple of 5786 and 5793 = 33518298
Step 1: Find the prime factorization of 5786
5786 = 2 x 11 x 263
Step 2: Find the prime factorization of 5793
5793 = 3 x 1931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33518298 = 2 x 3 x 11 x 263 x 1931
Step 4: Therefore, the least common multiple of 5786 and 5793 is 33518298.