Least Common Multiple of 593 and 597

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 597 the smallest integer that is 354021 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 597 is 354021.

LCM(593,597) = 354021

LCM of 593 and 597

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

LCM of:
and

Least Common Multiple of 593 and 597

LCM of 593 and 597 is 354021

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 597. First we will calculate the prime factors of 593 and 597.

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 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 597.

LCM(593,597) = 31×1991×5931
LCM(593,597) = 354021

Factors of 593

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

1, 593

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Least Common Multiple of 593 and 597 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 597, than apply into the LCM equation.

GCF(593,597) = 1
LCM(593,597) = ( 593 × 597) / 1
LCM(593,597) = 354021 / 1
LCM(593,597) = 354021

Properties of LCM 593 and 597

(i) The LCM of 597 and 593 is associative

LCM of 593 and 597 = LCM of 597 and 593

Related Least Common Multiples of 593

Related Least Common Multiples of 597

Frequently Asked Questions on LCM of 593 and 597

1. What is the LCM of 593 and 597?

Answer: LCM of 593 and 597 is 354021.

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 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

4. How to Find the LCM of 593 and 597?

Answer:

Least Common Multiple of 593 and 597 = 354021

Step 1: Find the prime factorization of 593

593 = 593

Step 2: Find the prime factorization of 597

597 = 3 x 199

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

LCM = 354021 = 3 x 199 x 593

Step 4: Therefore, the least common multiple of 593 and 597 is 354021.