Least Common Multiple of 572 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 572 and 576 the smallest integer that is 82368 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 576 is 82368.

LCM(572,576) = 82368

LCM of 572 and 576

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

LCM of:
and

Least Common Multiple of 572 and 576

LCM of 572 and 576 is 82368

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 576. First we will calculate the prime factors of 572 and 576.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

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 572 and 576.

LCM(572,576) = 26×32×111×131
LCM(572,576) = 82368

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 572 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 572 and 576, than apply into the LCM equation.

GCF(572,576) = 4
LCM(572,576) = ( 572 × 576) / 4
LCM(572,576) = 329472 / 4
LCM(572,576) = 82368

Properties of LCM 572 and 576

(i) The LCM of 576 and 572 is associative

LCM of 572 and 576 = LCM of 576 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 576

Frequently Asked Questions on LCM of 572 and 576

1. What is the LCM of 572 and 576?

Answer: LCM of 572 and 576 is 82368.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

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 572 and 576?

Answer:

Least Common Multiple of 572 and 576 = 82368

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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 = 82368 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 572 and 576 is 82368.