Least Common Multiple of 575 and 579

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 579 the smallest integer that is 332925 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 579 is 332925.

LCM(575,579) = 332925

LCM of 575 and 579

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

LCM of:
and

Least Common Multiple of 575 and 579

LCM of 575 and 579 is 332925

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 579. First we will calculate the prime factors of 575 and 579.

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 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 575 and 579.

LCM(575,579) = 31×52×231×1931
LCM(575,579) = 332925

Factors of 575

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

1, 5, 23, 25, 115, 575

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Least Common Multiple of 575 and 579 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 579, than apply into the LCM equation.

GCF(575,579) = 1
LCM(575,579) = ( 575 × 579) / 1
LCM(575,579) = 332925 / 1
LCM(575,579) = 332925

Properties of LCM 575 and 579

(i) The LCM of 579 and 575 is associative

LCM of 575 and 579 = LCM of 579 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 579

Frequently Asked Questions on LCM of 575 and 579

1. What is the LCM of 575 and 579?

Answer: LCM of 575 and 579 is 332925.

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 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

4. How to Find the LCM of 575 and 579?

Answer:

Least Common Multiple of 575 and 579 = 332925

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

Step 2: Find the prime factorization of 579

579 = 3 x 193

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

LCM = 332925 = 3 x 5 x 5 x 23 x 193

Step 4: Therefore, the least common multiple of 575 and 579 is 332925.