Least Common Multiple of 576 and 581

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 581 the smallest integer that is 334656 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 581 is 334656.

LCM(576,581) = 334656

LCM of 576 and 581

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

LCM of:
and

Least Common Multiple of 576 and 581

LCM of 576 and 581 is 334656

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 581. First we will calculate the prime factors of 576 and 581.

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 581


7 581
83 83
1

Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:

581 = 71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 581.

LCM(576,581) = 26×32×71×831
LCM(576,581) = 334656

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 581

List of positive integer factors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Least Common Multiple of 576 and 581 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 581, than apply into the LCM equation.

GCF(576,581) = 1
LCM(576,581) = ( 576 × 581) / 1
LCM(576,581) = 334656 / 1
LCM(576,581) = 334656

Properties of LCM 576 and 581

(i) The LCM of 581 and 576 is associative

LCM of 576 and 581 = LCM of 581 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 576 and 581

1. What is the LCM of 576 and 581?

Answer: LCM of 576 and 581 is 334656.

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 581?

Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.

4. How to Find the LCM of 576 and 581?

Answer:

Least Common Multiple of 576 and 581 = 334656

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 581

581 = 7 x 83

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

LCM = 334656 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 83

Step 4: Therefore, the least common multiple of 576 and 581 is 334656.