Least Common Multiple of 576 and 583

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 583 the smallest integer that is 335808 that is divisible by both numbers.

Least Common Multiple (LCM) of 576 and 583 is 335808.

LCM(576,583) = 335808

LCM of 576 and 583

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

LCM of:
and

Least Common Multiple of 576 and 583

LCM of 576 and 583 is 335808

Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 583. First we will calculate the prime factors of 576 and 583.

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 583


11 583
53 53
1

Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:

583 = 111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 583.

LCM(576,583) = 26×32×111×531
LCM(576,583) = 335808

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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Least Common Multiple of 576 and 583 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 583, than apply into the LCM equation.

GCF(576,583) = 1
LCM(576,583) = ( 576 × 583) / 1
LCM(576,583) = 335808 / 1
LCM(576,583) = 335808

Properties of LCM 576 and 583

(i) The LCM of 583 and 576 is associative

LCM of 576 and 583 = LCM of 583 and 576

Related Least Common Multiples of 576

Related Least Common Multiples of 583

Frequently Asked Questions on LCM of 576 and 583

1. What is the LCM of 576 and 583?

Answer: LCM of 576 and 583 is 335808.

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 583?

Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.

4. How to Find the LCM of 576 and 583?

Answer:

Least Common Multiple of 576 and 583 = 335808

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 583

583 = 11 x 53

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

LCM = 335808 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 53

Step 4: Therefore, the least common multiple of 576 and 583 is 335808.