Least Common Multiple of 594 and 600

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 600 the smallest integer that is 59400 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 600 is 59400.

LCM(594,600) = 59400

LCM of 594 and 600

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

LCM of:
and

Least Common Multiple of 594 and 600

LCM of 594 and 600 is 59400

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 600. First we will calculate the prime factors of 594 and 600.

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 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2, 3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 594 and 600.

LCM(594,600) = 23×33×52×111
LCM(594,600) = 59400

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 600

List of positive integer factors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Least Common Multiple of 594 and 600 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 600, than apply into the LCM equation.

GCF(594,600) = 6
LCM(594,600) = ( 594 × 600) / 6
LCM(594,600) = 356400 / 6
LCM(594,600) = 59400

Properties of LCM 594 and 600

(i) The LCM of 600 and 594 is associative

LCM of 594 and 600 = LCM of 600 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 600

Frequently Asked Questions on LCM of 594 and 600

1. What is the LCM of 594 and 600?

Answer: LCM of 594 and 600 is 59400.

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 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

4. How to Find the LCM of 594 and 600?

Answer:

Least Common Multiple of 594 and 600 = 59400

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 600

600 = 2 x 2 x 2 x 3 x 5 x 5

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

LCM = 59400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 594 and 600 is 59400.