Least Common Multiple of 563 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 563 and 570 the smallest integer that is 320910 that is divisible by both numbers.

Least Common Multiple (LCM) of 563 and 570 is 320910.

LCM(563,570) = 320910

LCM of 563 and 570

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

LCM of:
and

Least Common Multiple of 563 and 570

LCM of 563 and 570 is 320910

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 570. First we will calculate the prime factors of 563 and 570.

Prime Factorization of 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

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 563 and 570.

LCM(563,570) = 21×31×51×191×5631
LCM(563,570) = 320910

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1, 563

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 563 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 563 and 570, than apply into the LCM equation.

GCF(563,570) = 1
LCM(563,570) = ( 563 × 570) / 1
LCM(563,570) = 320910 / 1
LCM(563,570) = 320910

Properties of LCM 563 and 570

(i) The LCM of 570 and 563 is associative

LCM of 563 and 570 = LCM of 570 and 563

Related Least Common Multiples of 563

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 563 and 570

1. What is the LCM of 563 and 570?

Answer: LCM of 563 and 570 is 320910.

2. What are the Factors of 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

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 563 and 570?

Answer:

Least Common Multiple of 563 and 570 = 320910

Step 1: Find the prime factorization of 563

563 = 563

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 = 320910 = 2 x 3 x 5 x 19 x 563

Step 4: Therefore, the least common multiple of 563 and 570 is 320910.