Least Common Multiple of 593 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 593 and 598 the smallest integer that is 354614 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 598 is 354614.

LCM(593,598) = 354614

LCM of 593 and 598

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

LCM of:
and

Least Common Multiple of 593 and 598

LCM of 593 and 598 is 354614

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 598. First we will calculate the prime factors of 593 and 598.

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 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 593 and 598.

LCM(593,598) = 21×131×231×5931
LCM(593,598) = 354614

Factors of 593

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

1, 593

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 593 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 593 and 598, than apply into the LCM equation.

GCF(593,598) = 1
LCM(593,598) = ( 593 × 598) / 1
LCM(593,598) = 354614 / 1
LCM(593,598) = 354614

Properties of LCM 593 and 598

(i) The LCM of 598 and 593 is associative

LCM of 593 and 598 = LCM of 598 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 598

Frequently Asked Questions on LCM of 593 and 598

1. What is the LCM of 593 and 598?

Answer: LCM of 593 and 598 is 354614.

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 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 593 and 598?

Answer:

Least Common Multiple of 593 and 598 = 354614

Step 1: Find the prime factorization of 593

593 = 593

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 = 354614 = 2 x 13 x 23 x 593

Step 4: Therefore, the least common multiple of 593 and 598 is 354614.