Least Common Multiple of 583 and 588

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 588 the smallest integer that is 342804 that is divisible by both numbers.

Least Common Multiple (LCM) of 583 and 588 is 342804.

LCM(583,588) = 342804

LCM of 583 and 588

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

LCM of:
and

Least Common Multiple of 583 and 588

LCM of 583 and 588 is 342804

Least common multiple can be found by multiplying the highest exponent prime factors of 583 and 588. First we will calculate the prime factors of 583 and 588.

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 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 583 and 588.

LCM(583,588) = 22×31×72×111×531
LCM(583,588) = 342804

Factors of 583

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

1, 11, 53, 583

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Least Common Multiple of 583 and 588 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 588, than apply into the LCM equation.

GCF(583,588) = 1
LCM(583,588) = ( 583 × 588) / 1
LCM(583,588) = 342804 / 1
LCM(583,588) = 342804

Properties of LCM 583 and 588

(i) The LCM of 588 and 583 is associative

LCM of 583 and 588 = LCM of 588 and 583

Related Least Common Multiples of 583

Related Least Common Multiples of 588

Frequently Asked Questions on LCM of 583 and 588

1. What is the LCM of 583 and 588?

Answer: LCM of 583 and 588 is 342804.

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 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

4. How to Find the LCM of 583 and 588?

Answer:

Least Common Multiple of 583 and 588 = 342804

Step 1: Find the prime factorization of 583

583 = 11 x 53

Step 2: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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

LCM = 342804 = 2 x 2 x 3 x 7 x 7 x 11 x 53

Step 4: Therefore, the least common multiple of 583 and 588 is 342804.