Least Common Multiple of 570 and 576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 570 and 576 the smallest integer that is 54720 that is divisible by both numbers.

Least Common Multiple (LCM) of 570 and 576 is 54720.

LCM(570,576) = 54720

LCM of 570 and 576

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

LCM of:
and

Least Common Multiple of 570 and 576

LCM of 570 and 576 is 54720

Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 576. First we will calculate the prime factors of 570 and 576.

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

Prime Factorization of 576


2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 576 are 2,3. Prime factorization of 576 in exponential form is:

576 = 26×32

Now multiplying the highest exponent prime factors to calculate the LCM of 570 and 576.

LCM(570,576) = 26×32×51×191
LCM(570,576) = 54720

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

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Least Common Multiple of 570 and 576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 570 and 576, than apply into the LCM equation.

GCF(570,576) = 6
LCM(570,576) = ( 570 × 576) / 6
LCM(570,576) = 328320 / 6
LCM(570,576) = 54720

Properties of LCM 570 and 576

(i) The LCM of 576 and 570 is associative

LCM of 570 and 576 = LCM of 576 and 570

Related Least Common Multiples of 570

Related Least Common Multiples of 576

Frequently Asked Questions on LCM of 570 and 576

1. What is the LCM of 570 and 576?

Answer: LCM of 570 and 576 is 54720.

2. 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.

3. What are the Factors of 576?

Answer: Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. There are 21 integers that are factors of 576. The greatest factor of 576 is 576.

4. How to Find the LCM of 570 and 576?

Answer:

Least Common Multiple of 570 and 576 = 54720

Step 1: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 576

576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 54720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 570 and 576 is 54720.