Least Common Multiple of 568 and 571

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 571 the smallest integer that is 324328 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 571 is 324328.

LCM(568,571) = 324328

LCM of 568 and 571

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

LCM of:
and

Least Common Multiple of 568 and 571

LCM of 568 and 571 is 324328

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 571. First we will calculate the prime factors of 568 and 571.

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 571


571 571
1

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 571.

LCM(568,571) = 23×711×5711
LCM(568,571) = 324328

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 571

List of positive integer factors of 571 that divides 571 without a remainder.

1, 571

Least Common Multiple of 568 and 571 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 571, than apply into the LCM equation.

GCF(568,571) = 1
LCM(568,571) = ( 568 × 571) / 1
LCM(568,571) = 324328 / 1
LCM(568,571) = 324328

Properties of LCM 568 and 571

(i) The LCM of 571 and 568 is associative

LCM of 568 and 571 = LCM of 571 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 571

Frequently Asked Questions on LCM of 568 and 571

1. What is the LCM of 568 and 571?

Answer: LCM of 568 and 571 is 324328.

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 571?

Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.

4. How to Find the LCM of 568 and 571?

Answer:

Least Common Multiple of 568 and 571 = 324328

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 571

571 = 571

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

LCM = 324328 = 2 x 2 x 2 x 71 x 571

Step 4: Therefore, the least common multiple of 568 and 571 is 324328.