Least Common Multiple of 569 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 569 and 570 the smallest integer that is 324330 that is divisible by both numbers.

Least Common Multiple (LCM) of 569 and 570 is 324330.

LCM(569,570) = 324330

LCM of 569 and 570

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

LCM of:
and

Least Common Multiple of 569 and 570

LCM of 569 and 570 is 324330

Least common multiple can be found by multiplying the highest exponent prime factors of 569 and 570. First we will calculate the prime factors of 569 and 570.

Prime Factorization of 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

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 569 and 570.

LCM(569,570) = 21×31×51×191×5691
LCM(569,570) = 324330

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

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 569 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 569 and 570, than apply into the LCM equation.

GCF(569,570) = 1
LCM(569,570) = ( 569 × 570) / 1
LCM(569,570) = 324330 / 1
LCM(569,570) = 324330

Properties of LCM 569 and 570

(i) The LCM of 570 and 569 is associative

LCM of 569 and 570 = LCM of 570 and 569

Related Least Common Multiples of 569

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 569 and 570

1. What is the LCM of 569 and 570?

Answer: LCM of 569 and 570 is 324330.

2. What are the Factors of 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

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 569 and 570?

Answer:

Least Common Multiple of 569 and 570 = 324330

Step 1: Find the prime factorization of 569

569 = 569

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 = 324330 = 2 x 3 x 5 x 19 x 569

Step 4: Therefore, the least common multiple of 569 and 570 is 324330.