Least Common Multiple of 592 and 599

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 599 the smallest integer that is 354608 that is divisible by both numbers.

Least Common Multiple (LCM) of 592 and 599 is 354608.

LCM(592,599) = 354608

LCM of 592 and 599

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

LCM of:
and

Least Common Multiple of 592 and 599

LCM of 592 and 599 is 354608

Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 599. First we will calculate the prime factors of 592 and 599.

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 599


599 599
1

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 592 and 599.

LCM(592,599) = 24×371×5991
LCM(592,599) = 354608

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 599

List of positive integer factors of 599 that divides 599 without a remainder.

1, 599

Least Common Multiple of 592 and 599 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 599, than apply into the LCM equation.

GCF(592,599) = 1
LCM(592,599) = ( 592 × 599) / 1
LCM(592,599) = 354608 / 1
LCM(592,599) = 354608

Properties of LCM 592 and 599

(i) The LCM of 599 and 592 is associative

LCM of 592 and 599 = LCM of 599 and 592

Related Least Common Multiples of 592

Related Least Common Multiples of 599

Frequently Asked Questions on LCM of 592 and 599

1. What is the LCM of 592 and 599?

Answer: LCM of 592 and 599 is 354608.

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 599?

Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.

4. How to Find the LCM of 592 and 599?

Answer:

Least Common Multiple of 592 and 599 = 354608

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 599

599 = 599

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

LCM = 354608 = 2 x 2 x 2 x 2 x 37 x 599

Step 4: Therefore, the least common multiple of 592 and 599 is 354608.