Least Common Multiple of 566 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 566 and 570 the smallest integer that is 161310 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 570 is 161310.

LCM(566,570) = 161310

LCM of 566 and 570

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

LCM of:
and

Least Common Multiple of 566 and 570

LCM of 566 and 570 is 161310

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 570. First we will calculate the prime factors of 566 and 570.

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 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 566 and 570.

LCM(566,570) = 21×31×51×191×2831
LCM(566,570) = 161310

Factors of 566

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

1, 2, 283, 566

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 566 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 566 and 570, than apply into the LCM equation.

GCF(566,570) = 2
LCM(566,570) = ( 566 × 570) / 2
LCM(566,570) = 322620 / 2
LCM(566,570) = 161310

Properties of LCM 566 and 570

(i) The LCM of 570 and 566 is associative

LCM of 566 and 570 = LCM of 570 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 566 and 570

1. What is the LCM of 566 and 570?

Answer: LCM of 566 and 570 is 161310.

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 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 566 and 570?

Answer:

Least Common Multiple of 566 and 570 = 161310

Step 1: Find the prime factorization of 566

566 = 2 x 283

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 = 161310 = 2 x 3 x 5 x 19 x 283

Step 4: Therefore, the least common multiple of 566 and 570 is 161310.