Least Common Multiple of 586 and 588

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 588 the smallest integer that is 172284 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 588 is 172284.

LCM(586,588) = 172284

LCM of 586 and 588

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

LCM of:
and

Least Common Multiple of 586 and 588

LCM of 586 and 588 is 172284

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 588. First we will calculate the prime factors of 586 and 588.

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 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 588.

LCM(586,588) = 22×31×72×2931
LCM(586,588) = 172284

Factors of 586

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

1, 2, 293, 586

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Least Common Multiple of 586 and 588 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 588, than apply into the LCM equation.

GCF(586,588) = 2
LCM(586,588) = ( 586 × 588) / 2
LCM(586,588) = 344568 / 2
LCM(586,588) = 172284

Properties of LCM 586 and 588

(i) The LCM of 588 and 586 is associative

LCM of 586 and 588 = LCM of 588 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 588

Frequently Asked Questions on LCM of 586 and 588

1. What is the LCM of 586 and 588?

Answer: LCM of 586 and 588 is 172284.

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 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

4. How to Find the LCM of 586 and 588?

Answer:

Least Common Multiple of 586 and 588 = 172284

Step 1: Find the prime factorization of 586

586 = 2 x 293

Step 2: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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

LCM = 172284 = 2 x 2 x 3 x 7 x 7 x 293

Step 4: Therefore, the least common multiple of 586 and 588 is 172284.