Least Common Multiple of 586 and 594

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 594 the smallest integer that is 174042 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 594 is 174042.

LCM(586,594) = 174042

LCM of 586 and 594

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

LCM of:
and

Least Common Multiple of 586 and 594

LCM of 586 and 594 is 174042

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 594. First we will calculate the prime factors of 586 and 594.

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 594


2 594
3 297
3 99
3 33
11 11
1

Prime factors of 594 are 2, 3,11. Prime factorization of 594 in exponential form is:

594 = 21×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 594.

LCM(586,594) = 21×33×111×2931
LCM(586,594) = 174042

Factors of 586

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

1, 2, 293, 586

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Least Common Multiple of 586 and 594 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 594, than apply into the LCM equation.

GCF(586,594) = 2
LCM(586,594) = ( 586 × 594) / 2
LCM(586,594) = 348084 / 2
LCM(586,594) = 174042

Properties of LCM 586 and 594

(i) The LCM of 594 and 586 is associative

LCM of 586 and 594 = LCM of 594 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 586 and 594

1. What is the LCM of 586 and 594?

Answer: LCM of 586 and 594 is 174042.

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 594?

Answer: Factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594. There are 16 integers that are factors of 594. The greatest factor of 594 is 594.

4. How to Find the LCM of 586 and 594?

Answer:

Least Common Multiple of 586 and 594 = 174042

Step 1: Find the prime factorization of 586

586 = 2 x 293

Step 2: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

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

LCM = 174042 = 2 x 3 x 3 x 3 x 11 x 293

Step 4: Therefore, the least common multiple of 586 and 594 is 174042.