Least Common Multiple of 586 and 592

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 592 the smallest integer that is 173456 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 592 is 173456.

LCM(586,592) = 173456

LCM of 586 and 592

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

LCM of:
and

Least Common Multiple of 586 and 592

LCM of 586 and 592 is 173456

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 592. First we will calculate the prime factors of 586 and 592.

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 592


2 592
2 296
2 148
2 74
37 37
1

Prime factors of 592 are 2,37. Prime factorization of 592 in exponential form is:

592 = 24×371

Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 592.

LCM(586,592) = 24×371×2931
LCM(586,592) = 173456

Factors of 586

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

1, 2, 293, 586

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Least Common Multiple of 586 and 592 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 592, than apply into the LCM equation.

GCF(586,592) = 2
LCM(586,592) = ( 586 × 592) / 2
LCM(586,592) = 346912 / 2
LCM(586,592) = 173456

Properties of LCM 586 and 592

(i) The LCM of 592 and 586 is associative

LCM of 586 and 592 = LCM of 592 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 586 and 592

1. What is the LCM of 586 and 592?

Answer: LCM of 586 and 592 is 173456.

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 592?

Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.

4. How to Find the LCM of 586 and 592?

Answer:

Least Common Multiple of 586 and 592 = 173456

Step 1: Find the prime factorization of 586

586 = 2 x 293

Step 2: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

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

LCM = 173456 = 2 x 2 x 2 x 2 x 37 x 293

Step 4: Therefore, the least common multiple of 586 and 592 is 173456.