Least Common Multiple of 593 and 595

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 595 the smallest integer that is 352835 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 595 is 352835.

LCM(593,595) = 352835

LCM of 593 and 595

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

LCM of:
and

Least Common Multiple of 593 and 595

LCM of 593 and 595 is 352835

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 595. First we will calculate the prime factors of 593 and 595.

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 595


5 595
7 119
17 17
1

Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 595.

LCM(593,595) = 51×71×171×5931
LCM(593,595) = 352835

Factors of 593

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

1, 593

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Least Common Multiple of 593 and 595 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 595, than apply into the LCM equation.

GCF(593,595) = 1
LCM(593,595) = ( 593 × 595) / 1
LCM(593,595) = 352835 / 1
LCM(593,595) = 352835

Properties of LCM 593 and 595

(i) The LCM of 595 and 593 is associative

LCM of 593 and 595 = LCM of 595 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 593 and 595

1. What is the LCM of 593 and 595?

Answer: LCM of 593 and 595 is 352835.

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 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

4. How to Find the LCM of 593 and 595?

Answer:

Least Common Multiple of 593 and 595 = 352835

Step 1: Find the prime factorization of 593

593 = 593

Step 2: Find the prime factorization of 595

595 = 5 x 7 x 17

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

LCM = 352835 = 5 x 7 x 17 x 593

Step 4: Therefore, the least common multiple of 593 and 595 is 352835.