Least Common Multiple of 573 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 573 and 580 the smallest integer that is 332340 that is divisible by both numbers.

Least Common Multiple (LCM) of 573 and 580 is 332340.

LCM(573,580) = 332340

LCM of 573 and 580

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

LCM of:
and

Least Common Multiple of 573 and 580

LCM of 573 and 580 is 332340

Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 580. First we will calculate the prime factors of 573 and 580.

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

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 573 and 580.

LCM(573,580) = 22×31×51×291×1911
LCM(573,580) = 332340

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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 573 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 573 and 580, than apply into the LCM equation.

GCF(573,580) = 1
LCM(573,580) = ( 573 × 580) / 1
LCM(573,580) = 332340 / 1
LCM(573,580) = 332340

Properties of LCM 573 and 580

(i) The LCM of 580 and 573 is associative

LCM of 573 and 580 = LCM of 580 and 573

Related Least Common Multiples of 573

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 573 and 580

1. What is the LCM of 573 and 580?

Answer: LCM of 573 and 580 is 332340.

2. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

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 573 and 580?

Answer:

Least Common Multiple of 573 and 580 = 332340

Step 1: Find the prime factorization of 573

573 = 3 x 191

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 = 332340 = 2 x 2 x 3 x 5 x 29 x 191

Step 4: Therefore, the least common multiple of 573 and 580 is 332340.