Least Common Multiple of 592 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 592 and 594 the smallest integer that is 175824 that is divisible by both numbers.

Least Common Multiple (LCM) of 592 and 594 is 175824.

LCM(592,594) = 175824

LCM of 592 and 594

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

LCM of:
and

Least Common Multiple of 592 and 594

LCM of 592 and 594 is 175824

Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 594. First we will calculate the prime factors of 592 and 594.

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

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 592 and 594.

LCM(592,594) = 24×33×111×371
LCM(592,594) = 175824

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

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 592 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 592 and 594, than apply into the LCM equation.

GCF(592,594) = 2
LCM(592,594) = ( 592 × 594) / 2
LCM(592,594) = 351648 / 2
LCM(592,594) = 175824

Properties of LCM 592 and 594

(i) The LCM of 594 and 592 is associative

LCM of 592 and 594 = LCM of 594 and 592

Related Least Common Multiples of 592

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 592 and 594

1. What is the LCM of 592 and 594?

Answer: LCM of 592 and 594 is 175824.

2. 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.

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 592 and 594?

Answer:

Least Common Multiple of 592 and 594 = 175824

Step 1: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

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 = 175824 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37

Step 4: Therefore, the least common multiple of 592 and 594 is 175824.