Least Common Multiple of 568 and 570

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 570 the smallest integer that is 161880 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 570 is 161880.

LCM(568,570) = 161880

LCM of 568 and 570

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

LCM of:
and

Least Common Multiple of 568 and 570

LCM of 568 and 570 is 161880

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 570. First we will calculate the prime factors of 568 and 570.

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 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2, 3, 5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 570.

LCM(568,570) = 23×31×51×191×711
LCM(568,570) = 161880

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 570

List of positive integer factors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Least Common Multiple of 568 and 570 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 570, than apply into the LCM equation.

GCF(568,570) = 2
LCM(568,570) = ( 568 × 570) / 2
LCM(568,570) = 323760 / 2
LCM(568,570) = 161880

Properties of LCM 568 and 570

(i) The LCM of 570 and 568 is associative

LCM of 568 and 570 = LCM of 570 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 568 and 570

1. What is the LCM of 568 and 570?

Answer: LCM of 568 and 570 is 161880.

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 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

4. How to Find the LCM of 568 and 570?

Answer:

Least Common Multiple of 568 and 570 = 161880

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

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

LCM = 161880 = 2 x 2 x 2 x 3 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 568 and 570 is 161880.