Least Common Multiple of 568 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 568 and 573 the smallest integer that is 325464 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 573 is 325464.

LCM(568,573) = 325464

LCM of 568 and 573

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

LCM of:
and

Least Common Multiple of 568 and 573

LCM of 568 and 573 is 325464

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 573. First we will calculate the prime factors of 568 and 573.

Prime Factorization of 568


2 568
2 284
2 142
71 71
1

Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:

568 = 23×711

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 568 and 573.

LCM(568,573) = 23×31×711×1911
LCM(568,573) = 325464

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Factors of 573

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

1, 3, 191, 573

Least Common Multiple of 568 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 568 and 573, than apply into the LCM equation.

GCF(568,573) = 1
LCM(568,573) = ( 568 × 573) / 1
LCM(568,573) = 325464 / 1
LCM(568,573) = 325464

Properties of LCM 568 and 573

(i) The LCM of 573 and 568 is associative

LCM of 568 and 573 = LCM of 573 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 573

Frequently Asked Questions on LCM of 568 and 573

1. What is the LCM of 568 and 573?

Answer: LCM of 568 and 573 is 325464.

2. What are the Factors of 568?

Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.

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 568 and 573?

Answer:

Least Common Multiple of 568 and 573 = 325464

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

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 = 325464 = 2 x 2 x 2 x 3 x 71 x 191

Step 4: Therefore, the least common multiple of 568 and 573 is 325464.