Least Common Multiple of 569 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 569 and 575 the smallest integer that is 327175 that is divisible by both numbers.

Least Common Multiple (LCM) of 569 and 575 is 327175.

LCM(569,575) = 327175

LCM of 569 and 575

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

LCM of:
and

Least Common Multiple of 569 and 575

LCM of 569 and 575 is 327175

Least common multiple can be found by multiplying the highest exponent prime factors of 569 and 575. First we will calculate the prime factors of 569 and 575.

Prime Factorization of 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

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 569 and 575.

LCM(569,575) = 52×231×5691
LCM(569,575) = 327175

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

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 569 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 569 and 575, than apply into the LCM equation.

GCF(569,575) = 1
LCM(569,575) = ( 569 × 575) / 1
LCM(569,575) = 327175 / 1
LCM(569,575) = 327175

Properties of LCM 569 and 575

(i) The LCM of 575 and 569 is associative

LCM of 569 and 575 = LCM of 575 and 569

Related Least Common Multiples of 569

Related Least Common Multiples of 575

Frequently Asked Questions on LCM of 569 and 575

1. What is the LCM of 569 and 575?

Answer: LCM of 569 and 575 is 327175.

2. What are the Factors of 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

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 569 and 575?

Answer:

Least Common Multiple of 569 and 575 = 327175

Step 1: Find the prime factorization of 569

569 = 569

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 = 327175 = 5 x 5 x 23 x 569

Step 4: Therefore, the least common multiple of 569 and 575 is 327175.