Least Common Multiple of 592 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 592 and 600 the smallest integer that is 44400 that is divisible by both numbers.

Least Common Multiple (LCM) of 592 and 600 is 44400.

LCM(592,600) = 44400

LCM of 592 and 600

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

LCM of:
and

Least Common Multiple of 592 and 600

LCM of 592 and 600 is 44400

Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 600. First we will calculate the prime factors of 592 and 600.

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 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 592 and 600.

LCM(592,600) = 24×31×52×371
LCM(592,600) = 44400

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 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 592 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 592 and 600, than apply into the LCM equation.

GCF(592,600) = 8
LCM(592,600) = ( 592 × 600) / 8
LCM(592,600) = 355200 / 8
LCM(592,600) = 44400

Properties of LCM 592 and 600

(i) The LCM of 600 and 592 is associative

LCM of 592 and 600 = LCM of 600 and 592

Related Least Common Multiples of 592

Related Least Common Multiples of 600

Frequently Asked Questions on LCM of 592 and 600

1. What is the LCM of 592 and 600?

Answer: LCM of 592 and 600 is 44400.

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 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 592 and 600?

Answer:

Least Common Multiple of 592 and 600 = 44400

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 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 = 44400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 37

Step 4: Therefore, the least common multiple of 592 and 600 is 44400.