Least Common Multiple of 560 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 560 and 568 the smallest integer that is 39760 that is divisible by both numbers.

Least Common Multiple (LCM) of 560 and 568 is 39760.

LCM(560,568) = 39760

LCM of 560 and 568

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

LCM of:
and

Least Common Multiple of 560 and 568

LCM of 560 and 568 is 39760

Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 568. First we will calculate the prime factors of 560 and 568.

Prime Factorization of 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2, 5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

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 560 and 568.

LCM(560,568) = 24×51×71×711
LCM(560,568) = 39760

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 560 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 560 and 568, than apply into the LCM equation.

GCF(560,568) = 8
LCM(560,568) = ( 560 × 568) / 8
LCM(560,568) = 318080 / 8
LCM(560,568) = 39760

Properties of LCM 560 and 568

(i) The LCM of 568 and 560 is associative

LCM of 560 and 568 = LCM of 568 and 560

Related Least Common Multiples of 560

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 560 and 568

1. What is the LCM of 560 and 568?

Answer: LCM of 560 and 568 is 39760.

2. What are the Factors of 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

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 560 and 568?

Answer:

Least Common Multiple of 560 and 568 = 39760

Step 1: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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 = 39760 = 2 x 2 x 2 x 2 x 5 x 7 x 71

Step 4: Therefore, the least common multiple of 560 and 568 is 39760.