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 583 the smallest integer that is 338723 that is divisible by both numbers.
Least Common Multiple (LCM) of 581 and 583 is 338723.
LCM(581,583) = 338723
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 583. First we will calculate the prime factors of 581 and 583.
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 583
11 | 583 |
53 | 53 |
1 |
Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:
583 = 111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 581 and 583.
LCM(581,583) = 71×111×531×831
LCM(581,583) = 338723
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1, 11, 53, 583
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 581 and 583, than apply into the LCM equation.
GCF(581,583) = 1
LCM(581,583) = ( 581 × 583) / 1
LCM(581,583) = 338723 / 1
LCM(581,583) = 338723
(i) The LCM of 583 and 581 is associative
LCM of 581 and 583 = LCM of 583 and 581
1. What is the LCM of 581 and 583?
Answer: LCM of 581 and 583 is 338723.
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 583?
Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.
4. How to Find the LCM of 581 and 583?
Answer:
Least Common Multiple of 581 and 583 = 338723
Step 1: Find the prime factorization of 581
581 = 7 x 83
Step 2: Find the prime factorization of 583
583 = 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 338723 = 7 x 11 x 53 x 83
Step 4: Therefore, the least common multiple of 581 and 583 is 338723.