Least Common Multiple of 586 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 586 and 591 the smallest integer that is 346326 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 591 is 346326.

LCM(586,591) = 346326

LCM of 586 and 591

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

LCM of:
and

Least Common Multiple of 586 and 591

LCM of 586 and 591 is 346326

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 591. First we will calculate the prime factors of 586 and 591.

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

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 586 and 591.

LCM(586,591) = 21×31×1971×2931
LCM(586,591) = 346326

Factors of 586

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

1, 2, 293, 586

Factors of 591

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

1, 3, 197, 591

Least Common Multiple of 586 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 586 and 591, than apply into the LCM equation.

GCF(586,591) = 1
LCM(586,591) = ( 586 × 591) / 1
LCM(586,591) = 346326 / 1
LCM(586,591) = 346326

Properties of LCM 586 and 591

(i) The LCM of 591 and 586 is associative

LCM of 586 and 591 = LCM of 591 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 591

Frequently Asked Questions on LCM of 586 and 591

1. What is the LCM of 586 and 591?

Answer: LCM of 586 and 591 is 346326.

2. 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.

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 586 and 591?

Answer:

Least Common Multiple of 586 and 591 = 346326

Step 1: Find the prime factorization of 586

586 = 2 x 293

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 = 346326 = 2 x 3 x 197 x 293

Step 4: Therefore, the least common multiple of 586 and 591 is 346326.