Least Common Multiple of 568 and 576

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 576 the smallest integer that is 40896 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 576 is 40896.

LCM(568,576) = 40896

LCM of 568 and 576

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

LCM of:
and

Least Common Multiple of 568 and 576

LCM of 568 and 576 is 40896

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 576. First we will calculate the prime factors of 568 and 576.

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 576


2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 576 are 2,3. Prime factorization of 576 in exponential form is:

576 = 26×32

Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 576.

LCM(568,576) = 26×32×711
LCM(568,576) = 40896

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 576

List of positive integer factors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Least Common Multiple of 568 and 576 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 576, than apply into the LCM equation.

GCF(568,576) = 8
LCM(568,576) = ( 568 × 576) / 8
LCM(568,576) = 327168 / 8
LCM(568,576) = 40896

Properties of LCM 568 and 576

(i) The LCM of 576 and 568 is associative

LCM of 568 and 576 = LCM of 576 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 576

Frequently Asked Questions on LCM of 568 and 576

1. What is the LCM of 568 and 576?

Answer: LCM of 568 and 576 is 40896.

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 576?

Answer: Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. There are 21 integers that are factors of 576. The greatest factor of 576 is 576.

4. How to Find the LCM of 568 and 576?

Answer:

Least Common Multiple of 568 and 576 = 40896

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 576

576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 40896 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 71

Step 4: Therefore, the least common multiple of 568 and 576 is 40896.