Least Common Multiple of 593 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 593 and 594 the smallest integer that is 352242 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 594 is 352242.

LCM(593,594) = 352242

LCM of 593 and 594

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

LCM of:
and

Least Common Multiple of 593 and 594

LCM of 593 and 594 is 352242

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 594. First we will calculate the prime factors of 593 and 594.

Prime Factorization of 593


593 593
1

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 5931

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 593 and 594.

LCM(593,594) = 21×33×111×5931
LCM(593,594) = 352242

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1, 593

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 593 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 593 and 594, than apply into the LCM equation.

GCF(593,594) = 1
LCM(593,594) = ( 593 × 594) / 1
LCM(593,594) = 352242 / 1
LCM(593,594) = 352242

Properties of LCM 593 and 594

(i) The LCM of 594 and 593 is associative

LCM of 593 and 594 = LCM of 594 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 593 and 594

1. What is the LCM of 593 and 594?

Answer: LCM of 593 and 594 is 352242.

2. What are the Factors of 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

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 593 and 594?

Answer:

Least Common Multiple of 593 and 594 = 352242

Step 1: Find the prime factorization of 593

593 = 593

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 = 352242 = 2 x 3 x 3 x 3 x 11 x 593

Step 4: Therefore, the least common multiple of 593 and 594 is 352242.