Least Common Multiple of 585 and 591

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 591 the smallest integer that is 115245 that is divisible by both numbers.

Least Common Multiple (LCM) of 585 and 591 is 115245.

LCM(585,591) = 115245

LCM of 585 and 591

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

LCM of:
and

Least Common Multiple of 585 and 591

LCM of 585 and 591 is 115245

Least common multiple can be found by multiplying the highest exponent prime factors of 585 and 591. First we will calculate the prime factors of 585 and 591.

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 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 585 and 591.

LCM(585,591) = 32×51×131×1971
LCM(585,591) = 115245

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 591

List of positive integer factors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Least Common Multiple of 585 and 591 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 591, than apply into the LCM equation.

GCF(585,591) = 3
LCM(585,591) = ( 585 × 591) / 3
LCM(585,591) = 345735 / 3
LCM(585,591) = 115245

Properties of LCM 585 and 591

(i) The LCM of 591 and 585 is associative

LCM of 585 and 591 = LCM of 591 and 585

Related Least Common Multiples of 585

Related Least Common Multiples of 591

Frequently Asked Questions on LCM of 585 and 591

1. What is the LCM of 585 and 591?

Answer: LCM of 585 and 591 is 115245.

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 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

4. How to Find the LCM of 585 and 591?

Answer:

Least Common Multiple of 585 and 591 = 115245

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 591

591 = 3 x 197

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

LCM = 115245 = 3 x 3 x 5 x 13 x 197

Step 4: Therefore, the least common multiple of 585 and 591 is 115245.