Least Common Multiple of 573 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 573 and 575 the smallest integer that is 329475 that is divisible by both numbers.

Least Common Multiple (LCM) of 573 and 575 is 329475.

LCM(573,575) = 329475

LCM of 573 and 575

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

LCM of:
and

Least Common Multiple of 573 and 575

LCM of 573 and 575 is 329475

Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 575. First we will calculate the prime factors of 573 and 575.

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

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 573 and 575.

LCM(573,575) = 31×52×231×1911
LCM(573,575) = 329475

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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 573 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 573 and 575, than apply into the LCM equation.

GCF(573,575) = 1
LCM(573,575) = ( 573 × 575) / 1
LCM(573,575) = 329475 / 1
LCM(573,575) = 329475

Properties of LCM 573 and 575

(i) The LCM of 575 and 573 is associative

LCM of 573 and 575 = LCM of 575 and 573

Related Least Common Multiples of 573

Related Least Common Multiples of 575

Frequently Asked Questions on LCM of 573 and 575

1. What is the LCM of 573 and 575?

Answer: LCM of 573 and 575 is 329475.

2. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

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 573 and 575?

Answer:

Least Common Multiple of 573 and 575 = 329475

Step 1: Find the prime factorization of 573

573 = 3 x 191

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 = 329475 = 3 x 5 x 5 x 23 x 191

Step 4: Therefore, the least common multiple of 573 and 575 is 329475.