Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5781 and 5788 the smallest integer that is 33460428 that is divisible by both numbers.
Least Common Multiple (LCM) of 5781 and 5788 is 33460428.
LCM(5781,5788) = 33460428
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 5781 and 5788. First we will calculate the prime factors of 5781 and 5788.
Prime Factorization of 5781
3 | 5781 |
41 | 1927 |
47 | 47 |
1 |
Prime factors of 5781 are 3, 41,47. Prime factorization of 5781 in exponential form is:
5781 = 31×411×471
Prime Factorization of 5788
2 | 5788 |
2 | 2894 |
1447 | 1447 |
1 |
Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:
5788 = 22×14471
Now multiplying the highest exponent prime factors to calculate the LCM of 5781 and 5788.
LCM(5781,5788) = 22×31×411×471×14471
LCM(5781,5788) = 33460428
Factors of 5781
List of positive integer factors of 5781 that divides 5781 without a remainder.
1, 3, 41, 47, 123, 141, 1927, 5781
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1, 2, 4, 1447, 2894, 5788
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5781 and 5788, than apply into the LCM equation.
GCF(5781,5788) = 1
LCM(5781,5788) = ( 5781 × 5788) / 1
LCM(5781,5788) = 33460428 / 1
LCM(5781,5788) = 33460428
(i) The LCM of 5788 and 5781 is associative
LCM of 5781 and 5788 = LCM of 5788 and 5781
1. What is the LCM of 5781 and 5788?
Answer: LCM of 5781 and 5788 is 33460428.
2. What are the Factors of 5781?
Answer: Factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781. There are 8 integers that are factors of 5781. The greatest factor of 5781 is 5781.
3. What are the Factors of 5788?
Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.
4. How to Find the LCM of 5781 and 5788?
Answer:
Least Common Multiple of 5781 and 5788 = 33460428
Step 1: Find the prime factorization of 5781
5781 = 3 x 41 x 47
Step 2: Find the prime factorization of 5788
5788 = 2 x 2 x 1447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33460428 = 2 x 2 x 3 x 41 x 47 x 1447
Step 4: Therefore, the least common multiple of 5781 and 5788 is 33460428.