Least Common Multiple of 576 and 579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 576 and 579 the smallest integer that is 111168 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 579 is 111168.

LCM(576,579) = 111168

LCM of 576 and 579

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

LCM of:
and

Least Common Multiple of 576 and 579

LCM of 576 and 579 is 111168

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 579. First we will calculate the prime factors of 576 and 579.

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

Prime Factorization of 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 579.

LCM(576,579) = 26×32×1931
LCM(576,579) = 111168

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

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Least Common Multiple of 576 and 579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 576 and 579, than apply into the LCM equation.

GCF(576,579) = 3
LCM(576,579) = ( 576 × 579) / 3
LCM(576,579) = 333504 / 3
LCM(576,579) = 111168

Properties of LCM 576 and 579

(i) The LCM of 579 and 576 is associative

LCM of 576 and 579 = LCM of 579 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 579

Frequently Asked Questions on LCM of 576 and 579

1. What is the LCM of 576 and 579?

Answer: LCM of 576 and 579 is 111168.

2. 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.

3. What are the Factors of 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

4. How to Find the LCM of 576 and 579?

Answer:

Least Common Multiple of 576 and 579 = 111168

Step 1: Find the prime factorization of 576

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

Step 2: Find the prime factorization of 579

579 = 3 x 193

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

LCM = 111168 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 193

Step 4: Therefore, the least common multiple of 576 and 579 is 111168.