Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 581 and 586 the smallest integer that is 340466 that is divisible by both numbers.
Least Common Multiple (LCM) of 581 and 586 is 340466.
LCM(581,586) = 340466
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 581 and 586. First we will calculate the prime factors of 581 and 586.
Prime Factorization of 581
7 | 581 |
83 | 83 |
1 |
Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:
581 = 71×831
Prime Factorization of 586
2 | 586 |
293 | 293 |
1 |
Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:
586 = 21×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 581 and 586.
LCM(581,586) = 21×71×831×2931
LCM(581,586) = 340466
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1, 2, 293, 586
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 581 and 586, than apply into the LCM equation.
GCF(581,586) = 1
LCM(581,586) = ( 581 × 586) / 1
LCM(581,586) = 340466 / 1
LCM(581,586) = 340466
(i) The LCM of 586 and 581 is associative
LCM of 581 and 586 = LCM of 586 and 581
1. What is the LCM of 581 and 586?
Answer: LCM of 581 and 586 is 340466.
2. What are the Factors of 581?
Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.
3. What are the Factors of 586?
Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.
4. How to Find the LCM of 581 and 586?
Answer:
Least Common Multiple of 581 and 586 = 340466
Step 1: Find the prime factorization of 581
581 = 7 x 83
Step 2: Find the prime factorization of 586
586 = 2 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 340466 = 2 x 7 x 83 x 293
Step 4: Therefore, the least common multiple of 581 and 586 is 340466.