Least Common Multiple of 587 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 587 and 591 the smallest integer that is 346917 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 591 is 346917.

LCM(587,591) = 346917

LCM of 587 and 591

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

LCM of:
and

Least Common Multiple of 587 and 591

LCM of 587 and 591 is 346917

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 591. First we will calculate the prime factors of 587 and 591.

Prime Factorization of 587


587 587
1

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 5871

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 587 and 591.

LCM(587,591) = 31×1971×5871
LCM(587,591) = 346917

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1, 587

Factors of 591

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

1, 3, 197, 591

Least Common Multiple of 587 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 587 and 591, than apply into the LCM equation.

GCF(587,591) = 1
LCM(587,591) = ( 587 × 591) / 1
LCM(587,591) = 346917 / 1
LCM(587,591) = 346917

Properties of LCM 587 and 591

(i) The LCM of 591 and 587 is associative

LCM of 587 and 591 = LCM of 591 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 591

Frequently Asked Questions on LCM of 587 and 591

1. What is the LCM of 587 and 591?

Answer: LCM of 587 and 591 is 346917.

2. What are the Factors of 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

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 587 and 591?

Answer:

Least Common Multiple of 587 and 591 = 346917

Step 1: Find the prime factorization of 587

587 = 587

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 = 346917 = 3 x 197 x 587

Step 4: Therefore, the least common multiple of 587 and 591 is 346917.