Least Common Multiple of 583 and 591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 583 and 591 the smallest integer that is 344553 that is divisible by both numbers.

Least Common Multiple (LCM) of 583 and 591 is 344553.

LCM(583,591) = 344553

LCM of 583 and 591

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

LCM of:
and

Least Common Multiple of 583 and 591

LCM of 583 and 591 is 344553

Least common multiple can be found by multiplying the highest exponent prime factors of 583 and 591. First we will calculate the prime factors of 583 and 591.

Prime Factorization of 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Prime Factorization of 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 583 and 591.

LCM(583,591) = 31×111×531×1971
LCM(583,591) = 344553

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Least Common Multiple of 583 and 591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 583 and 591, than apply into the LCM equation.

GCF(583,591) = 1
LCM(583,591) = ( 583 × 591) / 1
LCM(583,591) = 344553 / 1
LCM(583,591) = 344553

Properties of LCM 583 and 591

(i) The LCM of 591 and 583 is associative

LCM of 583 and 591 = LCM of 591 and 583

Related Least Common Multiples of 583

Related Least Common Multiples of 591

Frequently Asked Questions on LCM of 583 and 591

1. What is the LCM of 583 and 591?

Answer: LCM of 583 and 591 is 344553.

2. What are the Factors of 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

3. What are the Factors of 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

4. How to Find the LCM of 583 and 591?

Answer:

Least Common Multiple of 583 and 591 = 344553

Step 1: Find the prime factorization of 583

583 = 11 x 53

Step 2: Find the prime factorization of 591

591 = 3 x 197

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

LCM = 344553 = 3 x 11 x 53 x 197

Step 4: Therefore, the least common multiple of 583 and 591 is 344553.