Least Common Multiple of 564 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 564 and 570 the smallest integer that is 53580 that is divisible by both numbers.

Least Common Multiple (LCM) of 564 and 570 is 53580.

LCM(564,570) = 53580

LCM of 564 and 570

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

LCM of:
and

Least Common Multiple of 564 and 570

LCM of 564 and 570 is 53580

Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 570. First we will calculate the prime factors of 564 and 570.

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

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 564 and 570.

LCM(564,570) = 22×31×51×191×471
LCM(564,570) = 53580

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 564 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 564 and 570, than apply into the LCM equation.

GCF(564,570) = 6
LCM(564,570) = ( 564 × 570) / 6
LCM(564,570) = 321480 / 6
LCM(564,570) = 53580

Properties of LCM 564 and 570

(i) The LCM of 570 and 564 is associative

LCM of 564 and 570 = LCM of 570 and 564

Related Least Common Multiples of 564

Related Least Common Multiples of 570

Frequently Asked Questions on LCM of 564 and 570

1. What is the LCM of 564 and 570?

Answer: LCM of 564 and 570 is 53580.

2. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

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 564 and 570?

Answer:

Least Common Multiple of 564 and 570 = 53580

Step 1: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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 = 53580 = 2 x 2 x 3 x 5 x 19 x 47

Step 4: Therefore, the least common multiple of 564 and 570 is 53580.