Least Common Multiple of 586 and 593

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 593 the smallest integer that is 347498 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 593 is 347498.

LCM(586,593) = 347498

LCM of 586 and 593

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

LCM of:
and

Least Common Multiple of 586 and 593

LCM of 586 and 593 is 347498

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 593. First we will calculate the prime factors of 586 and 593.

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 593


593 593
1

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 593.

LCM(586,593) = 21×2931×5931
LCM(586,593) = 347498

Factors of 586

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

1, 2, 293, 586

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1, 593

Least Common Multiple of 586 and 593 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 593, than apply into the LCM equation.

GCF(586,593) = 1
LCM(586,593) = ( 586 × 593) / 1
LCM(586,593) = 347498 / 1
LCM(586,593) = 347498

Properties of LCM 586 and 593

(i) The LCM of 593 and 586 is associative

LCM of 586 and 593 = LCM of 593 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 593

Frequently Asked Questions on LCM of 586 and 593

1. What is the LCM of 586 and 593?

Answer: LCM of 586 and 593 is 347498.

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 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

4. How to Find the LCM of 586 and 593?

Answer:

Least Common Multiple of 586 and 593 = 347498

Step 1: Find the prime factorization of 586

586 = 2 x 293

Step 2: Find the prime factorization of 593

593 = 593

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

LCM = 347498 = 2 x 293 x 593

Step 4: Therefore, the least common multiple of 586 and 593 is 347498.