Least Common Multiple of 585 and 593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 585 and 593 the smallest integer that is 346905 that is divisible by both numbers.

Least Common Multiple (LCM) of 585 and 593 is 346905.

LCM(585,593) = 346905

LCM of 585 and 593

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

LCM of:
and

Least Common Multiple of 585 and 593

LCM of 585 and 593 is 346905

Least common multiple can be found by multiplying the highest exponent prime factors of 585 and 593. First we will calculate the prime factors of 585 and 593.

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

Prime Factorization of 593


593 593
1

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 585 and 593.

LCM(585,593) = 32×51×131×5931
LCM(585,593) = 346905

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

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1, 593

Least Common Multiple of 585 and 593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 585 and 593, than apply into the LCM equation.

GCF(585,593) = 1
LCM(585,593) = ( 585 × 593) / 1
LCM(585,593) = 346905 / 1
LCM(585,593) = 346905

Properties of LCM 585 and 593

(i) The LCM of 593 and 585 is associative

LCM of 585 and 593 = LCM of 593 and 585

Related Least Common Multiples of 585

Related Least Common Multiples of 593

Frequently Asked Questions on LCM of 585 and 593

1. What is the LCM of 585 and 593?

Answer: LCM of 585 and 593 is 346905.

2. 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.

3. What are the Factors of 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

4. How to Find the LCM of 585 and 593?

Answer:

Least Common Multiple of 585 and 593 = 346905

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 593

593 = 593

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

LCM = 346905 = 3 x 3 x 5 x 13 x 593

Step 4: Therefore, the least common multiple of 585 and 593 is 346905.