Least Common Multiple of 576 and 582

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 582 the smallest integer that is 55872 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 582 is 55872.

LCM(576,582) = 55872

LCM of 576 and 582

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

LCM of:
and

Least Common Multiple of 576 and 582

LCM of 576 and 582 is 55872

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 582. First we will calculate the prime factors of 576 and 582.

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 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 582.

LCM(576,582) = 26×32×971
LCM(576,582) = 55872

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 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Least Common Multiple of 576 and 582 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 582, than apply into the LCM equation.

GCF(576,582) = 6
LCM(576,582) = ( 576 × 582) / 6
LCM(576,582) = 335232 / 6
LCM(576,582) = 55872

Properties of LCM 576 and 582

(i) The LCM of 582 and 576 is associative

LCM of 576 and 582 = LCM of 582 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 576 and 582

1. What is the LCM of 576 and 582?

Answer: LCM of 576 and 582 is 55872.

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 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

4. How to Find the LCM of 576 and 582?

Answer:

Least Common Multiple of 576 and 582 = 55872

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 582

582 = 2 x 3 x 97

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

LCM = 55872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 97

Step 4: Therefore, the least common multiple of 576 and 582 is 55872.