Least Common Multiple of 573 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 573 and 576 the smallest integer that is 110016 that is divisible by both numbers.

Least Common Multiple (LCM) of 573 and 576 is 110016.

LCM(573,576) = 110016

LCM of 573 and 576

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

LCM of:
and

Least Common Multiple of 573 and 576

LCM of 573 and 576 is 110016

Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 576. First we will calculate the prime factors of 573 and 576.

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

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 573 and 576.

LCM(573,576) = 26×32×1911
LCM(573,576) = 110016

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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 573 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 573 and 576, than apply into the LCM equation.

GCF(573,576) = 3
LCM(573,576) = ( 573 × 576) / 3
LCM(573,576) = 330048 / 3
LCM(573,576) = 110016

Properties of LCM 573 and 576

(i) The LCM of 576 and 573 is associative

LCM of 573 and 576 = LCM of 576 and 573

Related Least Common Multiples of 573

Related Least Common Multiples of 576

Frequently Asked Questions on LCM of 573 and 576

1. What is the LCM of 573 and 576?

Answer: LCM of 573 and 576 is 110016.

2. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

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 573 and 576?

Answer:

Least Common Multiple of 573 and 576 = 110016

Step 1: Find the prime factorization of 573

573 = 3 x 191

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 = 110016 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 191

Step 4: Therefore, the least common multiple of 573 and 576 is 110016.