Least Common Multiple of 589 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 589 and 594 the smallest integer that is 349866 that is divisible by both numbers.

Least Common Multiple (LCM) of 589 and 594 is 349866.

LCM(589,594) = 349866

LCM of 589 and 594

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

LCM of:
and

Least Common Multiple of 589 and 594

LCM of 589 and 594 is 349866

Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 594. First we will calculate the prime factors of 589 and 594.

Prime Factorization of 589


19 589
31 31
1

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 191×311

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 589 and 594.

LCM(589,594) = 21×33×111×191×311
LCM(589,594) = 349866

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1, 19, 31, 589

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 589 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 589 and 594, than apply into the LCM equation.

GCF(589,594) = 1
LCM(589,594) = ( 589 × 594) / 1
LCM(589,594) = 349866 / 1
LCM(589,594) = 349866

Properties of LCM 589 and 594

(i) The LCM of 594 and 589 is associative

LCM of 589 and 594 = LCM of 594 and 589

Related Least Common Multiples of 589

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 589 and 594

1. What is the LCM of 589 and 594?

Answer: LCM of 589 and 594 is 349866.

2. What are the Factors of 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

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 589 and 594?

Answer:

Least Common Multiple of 589 and 594 = 349866

Step 1: Find the prime factorization of 589

589 = 19 x 31

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 = 349866 = 2 x 3 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 589 and 594 is 349866.