Least Common Multiple of 593 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 593 and 600 the smallest integer that is 355800 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 600 is 355800.

LCM(593,600) = 355800

LCM of 593 and 600

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

LCM of:
and

Least Common Multiple of 593 and 600

LCM of 593 and 600 is 355800

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 600. First we will calculate the prime factors of 593 and 600.

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 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 593 and 600.

LCM(593,600) = 23×31×52×5931
LCM(593,600) = 355800

Factors of 593

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

1, 593

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 593 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 593 and 600, than apply into the LCM equation.

GCF(593,600) = 1
LCM(593,600) = ( 593 × 600) / 1
LCM(593,600) = 355800 / 1
LCM(593,600) = 355800

Properties of LCM 593 and 600

(i) The LCM of 600 and 593 is associative

LCM of 593 and 600 = LCM of 600 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 600

Frequently Asked Questions on LCM of 593 and 600

1. What is the LCM of 593 and 600?

Answer: LCM of 593 and 600 is 355800.

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 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 593 and 600?

Answer:

Least Common Multiple of 593 and 600 = 355800

Step 1: Find the prime factorization of 593

593 = 593

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 = 355800 = 2 x 2 x 2 x 3 x 5 x 5 x 593

Step 4: Therefore, the least common multiple of 593 and 600 is 355800.