Least Common Multiple of 594 and 595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 594 and 595 the smallest integer that is 353430 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 595 is 353430.

LCM(594,595) = 353430

LCM of 594 and 595

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

LCM of:
and

Least Common Multiple of 594 and 595

LCM of 594 and 595 is 353430

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 595. First we will calculate the prime factors of 594 and 595.

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

Prime Factorization of 595


5 595
7 119
17 17
1

Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 594 and 595.

LCM(594,595) = 21×33×51×71×111×171
LCM(594,595) = 353430

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

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Least Common Multiple of 594 and 595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 594 and 595, than apply into the LCM equation.

GCF(594,595) = 1
LCM(594,595) = ( 594 × 595) / 1
LCM(594,595) = 353430 / 1
LCM(594,595) = 353430

Properties of LCM 594 and 595

(i) The LCM of 595 and 594 is associative

LCM of 594 and 595 = LCM of 595 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 594 and 595

1. What is the LCM of 594 and 595?

Answer: LCM of 594 and 595 is 353430.

2. 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.

3. What are the Factors of 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

4. How to Find the LCM of 594 and 595?

Answer:

Least Common Multiple of 594 and 595 = 353430

Step 1: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 595

595 = 5 x 7 x 17

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

LCM = 353430 = 2 x 3 x 3 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 594 and 595 is 353430.