Least Common Multiple of 590 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 590 and 594 the smallest integer that is 175230 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 594 is 175230.

LCM(590,594) = 175230

LCM of 590 and 594

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

LCM of:
and

Least Common Multiple of 590 and 594

LCM of 590 and 594 is 175230

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 594. First we will calculate the prime factors of 590 and 594.

Prime Factorization of 590


2 590
5 295
59 59
1

Prime factors of 590 are 2, 5,59. Prime factorization of 590 in exponential form is:

590 = 21×51×591

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 590 and 594.

LCM(590,594) = 21×33×51×111×591
LCM(590,594) = 175230

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 590 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 590 and 594, than apply into the LCM equation.

GCF(590,594) = 2
LCM(590,594) = ( 590 × 594) / 2
LCM(590,594) = 350460 / 2
LCM(590,594) = 175230

Properties of LCM 590 and 594

(i) The LCM of 594 and 590 is associative

LCM of 590 and 594 = LCM of 594 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 590 and 594

1. What is the LCM of 590 and 594?

Answer: LCM of 590 and 594 is 175230.

2. What are the Factors of 590?

Answer: Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. There are 8 integers that are factors of 590. The greatest factor of 590 is 590.

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 590 and 594?

Answer:

Least Common Multiple of 590 and 594 = 175230

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

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 = 175230 = 2 x 3 x 3 x 3 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 590 and 594 is 175230.