Least Common Multiple of 585 and 587

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 587 the smallest integer that is 343395 that is divisible by both numbers.

Least Common Multiple (LCM) of 585 and 587 is 343395.

LCM(585,587) = 343395

LCM of 585 and 587

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

LCM of:
and

Least Common Multiple of 585 and 587

LCM of 585 and 587 is 343395

Least common multiple can be found by multiplying the highest exponent prime factors of 585 and 587. First we will calculate the prime factors of 585 and 587.

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 587


587 587
1

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 585 and 587.

LCM(585,587) = 32×51×131×5871
LCM(585,587) = 343395

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 587

List of positive integer factors of 587 that divides 587 without a remainder.

1, 587

Least Common Multiple of 585 and 587 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 587, than apply into the LCM equation.

GCF(585,587) = 1
LCM(585,587) = ( 585 × 587) / 1
LCM(585,587) = 343395 / 1
LCM(585,587) = 343395

Properties of LCM 585 and 587

(i) The LCM of 587 and 585 is associative

LCM of 585 and 587 = LCM of 587 and 585

Related Least Common Multiples of 585

Related Least Common Multiples of 587

Frequently Asked Questions on LCM of 585 and 587

1. What is the LCM of 585 and 587?

Answer: LCM of 585 and 587 is 343395.

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 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

4. How to Find the LCM of 585 and 587?

Answer:

Least Common Multiple of 585 and 587 = 343395

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 587

587 = 587

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

LCM = 343395 = 3 x 3 x 5 x 13 x 587

Step 4: Therefore, the least common multiple of 585 and 587 is 343395.