Least Common Multiple of 579 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 579 and 585 the smallest integer that is 112905 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 585 is 112905.

LCM(579,585) = 112905

LCM of 579 and 585

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

LCM of:
and

Least Common Multiple of 579 and 585

LCM of 579 and 585 is 112905

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 585. First we will calculate the prime factors of 579 and 585.

Prime Factorization of 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

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 579 and 585.

LCM(579,585) = 32×51×131×1931
LCM(579,585) = 112905

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193, 579

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 579 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 579 and 585, than apply into the LCM equation.

GCF(579,585) = 3
LCM(579,585) = ( 579 × 585) / 3
LCM(579,585) = 338715 / 3
LCM(579,585) = 112905

Properties of LCM 579 and 585

(i) The LCM of 585 and 579 is associative

LCM of 579 and 585 = LCM of 585 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 585

Frequently Asked Questions on LCM of 579 and 585

1. What is the LCM of 579 and 585?

Answer: LCM of 579 and 585 is 112905.

2. What are the Factors of 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

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 579 and 585?

Answer:

Least Common Multiple of 579 and 585 = 112905

Step 1: Find the prime factorization of 579

579 = 3 x 193

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 = 112905 = 3 x 3 x 5 x 13 x 193

Step 4: Therefore, the least common multiple of 579 and 585 is 112905.