Least Common Multiple of 572 and 580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 572 and 580 the smallest integer that is 82940 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 580 is 82940.

LCM(572,580) = 82940

LCM of 572 and 580

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

LCM of:
and

Least Common Multiple of 572 and 580

LCM of 572 and 580 is 82940

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 580. First we will calculate the prime factors of 572 and 580.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 572 and 580.

LCM(572,580) = 22×51×111×131×291
LCM(572,580) = 82940

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

Least Common Multiple of 572 and 580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 572 and 580, than apply into the LCM equation.

GCF(572,580) = 4
LCM(572,580) = ( 572 × 580) / 4
LCM(572,580) = 331760 / 4
LCM(572,580) = 82940

Properties of LCM 572 and 580

(i) The LCM of 580 and 572 is associative

LCM of 572 and 580 = LCM of 580 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 572 and 580

1. What is the LCM of 572 and 580?

Answer: LCM of 572 and 580 is 82940.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

3. 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.

4. How to Find the LCM of 572 and 580?

Answer:

Least Common Multiple of 572 and 580 = 82940

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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

LCM = 82940 = 2 x 2 x 5 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 572 and 580 is 82940.