Least Common Multiple of 572 and 575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 572 and 575 the smallest integer that is 328900 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 575 is 328900.

LCM(572,575) = 328900

LCM of 572 and 575

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

LCM of:
and

Least Common Multiple of 572 and 575

LCM of 572 and 575 is 328900

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 575. First we will calculate the prime factors of 572 and 575.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 572 and 575.

LCM(572,575) = 22×52×111×131×231
LCM(572,575) = 328900

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Factors of 575

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

1, 5, 23, 25, 115, 575

Least Common Multiple of 572 and 575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 572 and 575, than apply into the LCM equation.

GCF(572,575) = 1
LCM(572,575) = ( 572 × 575) / 1
LCM(572,575) = 328900 / 1
LCM(572,575) = 328900

Properties of LCM 572 and 575

(i) The LCM of 575 and 572 is associative

LCM of 572 and 575 = LCM of 575 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 575

Frequently Asked Questions on LCM of 572 and 575

1. What is the LCM of 572 and 575?

Answer: LCM of 572 and 575 is 328900.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

3. 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.

4. How to Find the LCM of 572 and 575?

Answer:

Least Common Multiple of 572 and 575 = 328900

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 575

575 = 5 x 5 x 23

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

LCM = 328900 = 2 x 2 x 5 x 5 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 572 and 575 is 328900.