Least Common Multiple of 566 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 566 and 568 the smallest integer that is 160744 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 568 is 160744.

LCM(566,568) = 160744

LCM of 566 and 568

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

LCM of:
and

Least Common Multiple of 566 and 568

LCM of 566 and 568 is 160744

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 568. First we will calculate the prime factors of 566 and 568.

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 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 566 and 568.

LCM(566,568) = 23×711×2831
LCM(566,568) = 160744

Factors of 566

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

1, 2, 283, 566

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 566 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 566 and 568, than apply into the LCM equation.

GCF(566,568) = 2
LCM(566,568) = ( 566 × 568) / 2
LCM(566,568) = 321488 / 2
LCM(566,568) = 160744

Properties of LCM 566 and 568

(i) The LCM of 568 and 566 is associative

LCM of 566 and 568 = LCM of 568 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 566 and 568

1. What is the LCM of 566 and 568?

Answer: LCM of 566 and 568 is 160744.

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 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 566 and 568?

Answer:

Least Common Multiple of 566 and 568 = 160744

Step 1: Find the prime factorization of 566

566 = 2 x 283

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 = 160744 = 2 x 2 x 2 x 71 x 283

Step 4: Therefore, the least common multiple of 566 and 568 is 160744.