Least Common Multiple of 593 and 601

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 601 the smallest integer that is 356393 that is divisible by both numbers.

Least Common Multiple (LCM) of 593 and 601 is 356393.

LCM(593,601) = 356393

LCM of 593 and 601

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

LCM of:
and

Least Common Multiple of 593 and 601

LCM of 593 and 601 is 356393

Least common multiple can be found by multiplying the highest exponent prime factors of 593 and 601. First we will calculate the prime factors of 593 and 601.

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 601


601 601
1

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 601.

LCM(593,601) = 5931×6011
LCM(593,601) = 356393

Factors of 593

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

1, 593

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1, 601

Least Common Multiple of 593 and 601 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 601, than apply into the LCM equation.

GCF(593,601) = 1
LCM(593,601) = ( 593 × 601) / 1
LCM(593,601) = 356393 / 1
LCM(593,601) = 356393

Properties of LCM 593 and 601

(i) The LCM of 601 and 593 is associative

LCM of 593 and 601 = LCM of 601 and 593

Frequently Asked Questions on LCM of 593 and 601

1. What is the LCM of 593 and 601?

Answer: LCM of 593 and 601 is 356393.

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 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

4. How to Find the LCM of 593 and 601?

Answer:

Least Common Multiple of 593 and 601 = 356393

Step 1: Find the prime factorization of 593

593 = 593

Step 2: Find the prime factorization of 601

601 = 601

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

LCM = 356393 = 593 x 601

Step 4: Therefore, the least common multiple of 593 and 601 is 356393.