Least Common Multiple of 566 and 573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 566 and 573 the smallest integer that is 324318 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 573 is 324318.

LCM(566,573) = 324318

LCM of 566 and 573

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

LCM of:
and

Least Common Multiple of 566 and 573

LCM of 566 and 573 is 324318

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 573. First we will calculate the prime factors of 566 and 573.

Prime Factorization of 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 566 and 573.

LCM(566,573) = 21×31×1911×2831
LCM(566,573) = 324318

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Factors of 573

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

1, 3, 191, 573

Least Common Multiple of 566 and 573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 566 and 573, than apply into the LCM equation.

GCF(566,573) = 1
LCM(566,573) = ( 566 × 573) / 1
LCM(566,573) = 324318 / 1
LCM(566,573) = 324318

Properties of LCM 566 and 573

(i) The LCM of 573 and 566 is associative

LCM of 566 and 573 = LCM of 573 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 573

Frequently Asked Questions on LCM of 566 and 573

1. What is the LCM of 566 and 573?

Answer: LCM of 566 and 573 is 324318.

2. What are the Factors of 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

3. 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.

4. How to Find the LCM of 566 and 573?

Answer:

Least Common Multiple of 566 and 573 = 324318

Step 1: Find the prime factorization of 566

566 = 2 x 283

Step 2: Find the prime factorization of 573

573 = 3 x 191

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

LCM = 324318 = 2 x 3 x 191 x 283

Step 4: Therefore, the least common multiple of 566 and 573 is 324318.