Least Common Multiple of 580 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 580 and 588 the smallest integer that is 85260 that is divisible by both numbers.

Least Common Multiple (LCM) of 580 and 588 is 85260.

LCM(580,588) = 85260

LCM of 580 and 588

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

LCM of:
and

Least Common Multiple of 580 and 588

LCM of 580 and 588 is 85260

Least common multiple can be found by multiplying the highest exponent prime factors of 580 and 588. First we will calculate the prime factors of 580 and 588.

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

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 580 and 588.

LCM(580,588) = 22×31×51×72×291
LCM(580,588) = 85260

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 580 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 580 and 588, than apply into the LCM equation.

GCF(580,588) = 4
LCM(580,588) = ( 580 × 588) / 4
LCM(580,588) = 341040 / 4
LCM(580,588) = 85260

Properties of LCM 580 and 588

(i) The LCM of 588 and 580 is associative

LCM of 580 and 588 = LCM of 588 and 580

Related Least Common Multiples of 580

Related Least Common Multiples of 588

Frequently Asked Questions on LCM of 580 and 588

1. What is the LCM of 580 and 588?

Answer: LCM of 580 and 588 is 85260.

2. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

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 580 and 588?

Answer:

Least Common Multiple of 580 and 588 = 85260

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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 = 85260 = 2 x 2 x 3 x 5 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 580 and 588 is 85260.