Least Common Multiple of 576 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 576 and 580 the smallest integer that is 83520 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 580 is 83520.

LCM(576,580) = 83520

LCM of 576 and 580

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

LCM of:
and

Least Common Multiple of 576 and 580

LCM of 576 and 580 is 83520

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 580. First we will calculate the prime factors of 576 and 580.

Prime Factorization of 576


2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 576 are 2,3. Prime factorization of 576 in exponential form is:

576 = 26×32

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 576 and 580.

LCM(576,580) = 26×32×51×291
LCM(576,580) = 83520

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 576 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 576 and 580, than apply into the LCM equation.

GCF(576,580) = 4
LCM(576,580) = ( 576 × 580) / 4
LCM(576,580) = 334080 / 4
LCM(576,580) = 83520

Properties of LCM 576 and 580

(i) The LCM of 580 and 576 is associative

LCM of 576 and 580 = LCM of 580 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 576 and 580

1. What is the LCM of 576 and 580?

Answer: LCM of 576 and 580 is 83520.

2. What are the Factors of 576?

Answer: Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. There are 21 integers that are factors of 576. The greatest factor of 576 is 576.

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 576 and 580?

Answer:

Least Common Multiple of 576 and 580 = 83520

Step 1: Find the prime factorization of 576

576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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 = 83520 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 576 and 580 is 83520.