Least Common Multiple of 583 and 587

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 587 the smallest integer that is 342221 that is divisible by both numbers.

Least Common Multiple (LCM) of 583 and 587 is 342221.

LCM(583,587) = 342221

LCM of 583 and 587

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

LCM of:
and

Least Common Multiple of 583 and 587

LCM of 583 and 587 is 342221

Least common multiple can be found by multiplying the highest exponent prime factors of 583 and 587. First we will calculate the prime factors of 583 and 587.

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 587


587 587
1

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

587 = 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 583 and 587.

LCM(583,587) = 111×531×5871
LCM(583,587) = 342221

Factors of 583

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

1, 11, 53, 583

Factors of 587

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

1, 587

Least Common Multiple of 583 and 587 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 587, than apply into the LCM equation.

GCF(583,587) = 1
LCM(583,587) = ( 583 × 587) / 1
LCM(583,587) = 342221 / 1
LCM(583,587) = 342221

Properties of LCM 583 and 587

(i) The LCM of 587 and 583 is associative

LCM of 583 and 587 = LCM of 587 and 583

Related Least Common Multiples of 583

Related Least Common Multiples of 587

Frequently Asked Questions on LCM of 583 and 587

1. What is the LCM of 583 and 587?

Answer: LCM of 583 and 587 is 342221.

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 587?

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

4. How to Find the LCM of 583 and 587?

Answer:

Least Common Multiple of 583 and 587 = 342221

Step 1: Find the prime factorization of 583

583 = 11 x 53

Step 2: Find the prime factorization of 587

587 = 587

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

LCM = 342221 = 11 x 53 x 587

Step 4: Therefore, the least common multiple of 583 and 587 is 342221.