Least Common Multiple of 593 and 596

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 596 the smallest integer that is 353428 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 596 is 353428.

LCM(593,596) = 353428

LCM of 593 and 596

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

LCM of:
and

Least Common Multiple of 593 and 596

LCM of 593 and 596 is 353428

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 596. First we will calculate the prime factors of 593 and 596.

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 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 596.

LCM(593,596) = 22×1491×5931
LCM(593,596) = 353428

Factors of 593

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

1, 593

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Least Common Multiple of 593 and 596 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 596, than apply into the LCM equation.

GCF(593,596) = 1
LCM(593,596) = ( 593 × 596) / 1
LCM(593,596) = 353428 / 1
LCM(593,596) = 353428

Properties of LCM 593 and 596

(i) The LCM of 596 and 593 is associative

LCM of 593 and 596 = LCM of 596 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 596

Frequently Asked Questions on LCM of 593 and 596

1. What is the LCM of 593 and 596?

Answer: LCM of 593 and 596 is 353428.

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 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

4. How to Find the LCM of 593 and 596?

Answer:

Least Common Multiple of 593 and 596 = 353428

Step 1: Find the prime factorization of 593

593 = 593

Step 2: Find the prime factorization of 596

596 = 2 x 2 x 149

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

LCM = 353428 = 2 x 2 x 149 x 593

Step 4: Therefore, the least common multiple of 593 and 596 is 353428.