Least Common Multiple of 593 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 593 and 599 the smallest integer that is 355207 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 599 is 355207.

LCM(593,599) = 355207

LCM of 593 and 599

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

LCM of:
and

Least Common Multiple of 593 and 599

LCM of 593 and 599 is 355207

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 599. First we will calculate the prime factors of 593 and 599.

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 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 593 and 599.

LCM(593,599) = 5931×5991
LCM(593,599) = 355207

Factors of 593

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

1, 593

Factors of 599

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

1, 599

Least Common Multiple of 593 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 593 and 599, than apply into the LCM equation.

GCF(593,599) = 1
LCM(593,599) = ( 593 × 599) / 1
LCM(593,599) = 355207 / 1
LCM(593,599) = 355207

Properties of LCM 593 and 599

(i) The LCM of 599 and 593 is associative

LCM of 593 and 599 = LCM of 599 and 593

Frequently Asked Questions on LCM of 593 and 599

1. What is the LCM of 593 and 599?

Answer: LCM of 593 and 599 is 355207.

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 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 593 and 599?

Answer:

Least Common Multiple of 593 and 599 = 355207

Step 1: Find the prime factorization of 593

593 = 593

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 = 355207 = 593 x 599

Step 4: Therefore, the least common multiple of 593 and 599 is 355207.