Least Common Multiple of 575 and 580

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 580 the smallest integer that is 66700 that is divisible by both numbers.

Least Common Multiple (LCM) of 575 and 580 is 66700.

LCM(575,580) = 66700

LCM of 575 and 580

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

LCM of:
and

Least Common Multiple of 575 and 580

LCM of 575 and 580 is 66700

Least common multiple can be found by multiplying the highest exponent prime factors of 575 and 580. First we will calculate the prime factors of 575 and 580.

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 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2, 5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 575 and 580.

LCM(575,580) = 22×52×231×291
LCM(575,580) = 66700

Factors of 575

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

1, 5, 23, 25, 115, 575

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Least Common Multiple of 575 and 580 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 580, than apply into the LCM equation.

GCF(575,580) = 5
LCM(575,580) = ( 575 × 580) / 5
LCM(575,580) = 333500 / 5
LCM(575,580) = 66700

Properties of LCM 575 and 580

(i) The LCM of 580 and 575 is associative

LCM of 575 and 580 = LCM of 580 and 575

Related Least Common Multiples of 575

Related Least Common Multiples of 580

Frequently Asked Questions on LCM of 575 and 580

1. What is the LCM of 575 and 580?

Answer: LCM of 575 and 580 is 66700.

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 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

4. How to Find the LCM of 575 and 580?

Answer:

Least Common Multiple of 575 and 580 = 66700

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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

LCM = 66700 = 2 x 2 x 5 x 5 x 23 x 29

Step 4: Therefore, the least common multiple of 575 and 580 is 66700.