Least Common Multiple of 579 and 586

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 586 the smallest integer that is 339294 that is divisible by both numbers.

Least Common Multiple (LCM) of 579 and 586 is 339294.

LCM(579,586) = 339294

LCM of 579 and 586

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

LCM of:
and

Least Common Multiple of 579 and 586

LCM of 579 and 586 is 339294

Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 586. First we will calculate the prime factors of 579 and 586.

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 586


2 586
293 293
1

Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:

586 = 21×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 579 and 586.

LCM(579,586) = 21×31×1931×2931
LCM(579,586) = 339294

Factors of 579

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

1, 3, 193, 579

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Least Common Multiple of 579 and 586 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 586, than apply into the LCM equation.

GCF(579,586) = 1
LCM(579,586) = ( 579 × 586) / 1
LCM(579,586) = 339294 / 1
LCM(579,586) = 339294

Properties of LCM 579 and 586

(i) The LCM of 586 and 579 is associative

LCM of 579 and 586 = LCM of 586 and 579

Related Least Common Multiples of 579

Related Least Common Multiples of 586

Frequently Asked Questions on LCM of 579 and 586

1. What is the LCM of 579 and 586?

Answer: LCM of 579 and 586 is 339294.

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 586?

Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.

4. How to Find the LCM of 579 and 586?

Answer:

Least Common Multiple of 579 and 586 = 339294

Step 1: Find the prime factorization of 579

579 = 3 x 193

Step 2: Find the prime factorization of 586

586 = 2 x 293

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

LCM = 339294 = 2 x 3 x 193 x 293

Step 4: Therefore, the least common multiple of 579 and 586 is 339294.