Least Common Multiple of 592 and 598

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 598 the smallest integer that is 177008 that is divisible by both numbers.

Least Common Multiple (LCM) of 592 and 598 is 177008.

LCM(592,598) = 177008

LCM of 592 and 598

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

LCM of:
and

Least Common Multiple of 592 and 598

LCM of 592 and 598 is 177008

Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 598. First we will calculate the prime factors of 592 and 598.

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 598


2 598
13 299
23 23
1

Prime factors of 598 are 2, 13,23. Prime factorization of 598 in exponential form is:

598 = 21×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 592 and 598.

LCM(592,598) = 24×131×231×371
LCM(592,598) = 177008

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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Least Common Multiple of 592 and 598 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 598, than apply into the LCM equation.

GCF(592,598) = 2
LCM(592,598) = ( 592 × 598) / 2
LCM(592,598) = 354016 / 2
LCM(592,598) = 177008

Properties of LCM 592 and 598

(i) The LCM of 598 and 592 is associative

LCM of 592 and 598 = LCM of 598 and 592

Related Least Common Multiples of 592

Related Least Common Multiples of 598

Frequently Asked Questions on LCM of 592 and 598

1. What is the LCM of 592 and 598?

Answer: LCM of 592 and 598 is 177008.

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 598?

Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.

4. How to Find the LCM of 592 and 598?

Answer:

Least Common Multiple of 592 and 598 = 177008

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 598

598 = 2 x 13 x 23

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

LCM = 177008 = 2 x 2 x 2 x 2 x 13 x 23 x 37

Step 4: Therefore, the least common multiple of 592 and 598 is 177008.