Least Common Multiple of 575 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 575 and 576 the smallest integer that is 331200 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 576 is 331200.

LCM(575,576) = 331200

LCM of 575 and 576

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

LCM of:
and

Least Common Multiple of 575 and 576

LCM of 575 and 576 is 331200

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 576. First we will calculate the prime factors of 575 and 576.

Prime Factorization of 575


5 575
5 115
23 23
1

Prime factors of 575 are 5,23. Prime factorization of 575 in exponential form is:

575 = 52×231

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 575 and 576.

LCM(575,576) = 26×32×52×231
LCM(575,576) = 331200

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 575 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 575 and 576, than apply into the LCM equation.

GCF(575,576) = 1
LCM(575,576) = ( 575 × 576) / 1
LCM(575,576) = 331200 / 1
LCM(575,576) = 331200

Properties of LCM 575 and 576

(i) The LCM of 576 and 575 is associative

LCM of 575 and 576 = LCM of 576 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 576

Frequently Asked Questions on LCM of 575 and 576

1. What is the LCM of 575 and 576?

Answer: LCM of 575 and 576 is 331200.

2. What are the Factors of 575?

Answer: Factors of 575 are 1, 5, 23, 25, 115, 575. There are 6 integers that are factors of 575. The greatest factor of 575 is 575.

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 575 and 576?

Answer:

Least Common Multiple of 575 and 576 = 331200

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

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 = 331200 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 575 and 576 is 331200.