Least Common Multiple of 581 and 582

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 582 the smallest integer that is 338142 that is divisible by both numbers.

Least Common Multiple (LCM) of 581 and 582 is 338142.

LCM(581,582) = 338142

LCM of 581 and 582

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 581 and 582

LCM of 581 and 582 is 338142

Least common multiple can be found by multiplying the highest exponent prime factors of 581 and 582. First we will calculate the prime factors of 581 and 582.

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 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 581 and 582.

LCM(581,582) = 21×31×71×831×971
LCM(581,582) = 338142

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Least Common Multiple of 581 and 582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 581 and 582, than apply into the LCM equation.

GCF(581,582) = 1
LCM(581,582) = ( 581 × 582) / 1
LCM(581,582) = 338142 / 1
LCM(581,582) = 338142

Properties of LCM 581 and 582

(i) The LCM of 582 and 581 is associative

LCM of 581 and 582 = LCM of 582 and 581

Related Least Common Multiples of 581

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 581 and 582

1. What is the LCM of 581 and 582?

Answer: LCM of 581 and 582 is 338142.

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 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

4. How to Find the LCM of 581 and 582?

Answer:

Least Common Multiple of 581 and 582 = 338142

Step 1: Find the prime factorization of 581

581 = 7 x 83

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 338142 = 2 x 3 x 7 x 83 x 97

Step 4: Therefore, the least common multiple of 581 and 582 is 338142.