Least Common Multiple of 563 and 568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 563 and 568 the smallest integer that is 319784 that is divisible by both numbers.

Least Common Multiple (LCM) of 563 and 568 is 319784.

LCM(563,568) = 319784

LCM of 563 and 568

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

LCM of:
and

Least Common Multiple of 563 and 568

LCM of 563 and 568 is 319784

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 568. First we will calculate the prime factors of 563 and 568.

Prime Factorization of 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 568.

LCM(563,568) = 23×711×5631
LCM(563,568) = 319784

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1, 563

Factors of 568

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

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

Least Common Multiple of 563 and 568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 563 and 568, than apply into the LCM equation.

GCF(563,568) = 1
LCM(563,568) = ( 563 × 568) / 1
LCM(563,568) = 319784 / 1
LCM(563,568) = 319784

Properties of LCM 563 and 568

(i) The LCM of 568 and 563 is associative

LCM of 563 and 568 = LCM of 568 and 563

Related Least Common Multiples of 563

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 563 and 568

1. What is the LCM of 563 and 568?

Answer: LCM of 563 and 568 is 319784.

2. What are the Factors of 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

3. 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.

4. How to Find the LCM of 563 and 568?

Answer:

Least Common Multiple of 563 and 568 = 319784

Step 1: Find the prime factorization of 563

563 = 563

Step 2: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

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

LCM = 319784 = 2 x 2 x 2 x 71 x 563

Step 4: Therefore, the least common multiple of 563 and 568 is 319784.