Least Common Multiple of 581 and 585

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 585 the smallest integer that is 339885 that is divisible by both numbers.

Least Common Multiple (LCM) of 581 and 585 is 339885.

LCM(581,585) = 339885

LCM of 581 and 585

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

LCM of:
and

Least Common Multiple of 581 and 585

LCM of 581 and 585 is 339885

Least common multiple can be found by multiplying the highest exponent prime factors of 581 and 585. First we will calculate the prime factors of 581 and 585.

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 585


3 585
3 195
5 65
13 13
1

Prime factors of 585 are 3, 5,13. Prime factorization of 585 in exponential form is:

585 = 32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 581 and 585.

LCM(581,585) = 32×51×71×131×831
LCM(581,585) = 339885

Factors of 581

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

1, 7, 83, 581

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Least Common Multiple of 581 and 585 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 585, than apply into the LCM equation.

GCF(581,585) = 1
LCM(581,585) = ( 581 × 585) / 1
LCM(581,585) = 339885 / 1
LCM(581,585) = 339885

Properties of LCM 581 and 585

(i) The LCM of 585 and 581 is associative

LCM of 581 and 585 = LCM of 585 and 581

Related Least Common Multiples of 581

Related Least Common Multiples of 585

Frequently Asked Questions on LCM of 581 and 585

1. What is the LCM of 581 and 585?

Answer: LCM of 581 and 585 is 339885.

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 585?

Answer: Factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. There are 12 integers that are factors of 585. The greatest factor of 585 is 585.

4. How to Find the LCM of 581 and 585?

Answer:

Least Common Multiple of 581 and 585 = 339885

Step 1: Find the prime factorization of 581

581 = 7 x 83

Step 2: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

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

LCM = 339885 = 3 x 3 x 5 x 7 x 13 x 83

Step 4: Therefore, the least common multiple of 581 and 585 is 339885.