Least Common Multiple of 570 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 570 and 575 the smallest integer that is 65550 that is divisible by both numbers.

Least Common Multiple (LCM) of 570 and 575 is 65550.

LCM(570,575) = 65550

LCM of 570 and 575

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

LCM of:
and

Least Common Multiple of 570 and 575

LCM of 570 and 575 is 65550

Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 575. First we will calculate the prime factors of 570 and 575.

Prime Factorization of 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2, 3, 5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

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 570 and 575.

LCM(570,575) = 21×31×52×191×231
LCM(570,575) = 65550

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 570 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 570 and 575, than apply into the LCM equation.

GCF(570,575) = 5
LCM(570,575) = ( 570 × 575) / 5
LCM(570,575) = 327750 / 5
LCM(570,575) = 65550

Properties of LCM 570 and 575

(i) The LCM of 575 and 570 is associative

LCM of 570 and 575 = LCM of 575 and 570

Related Least Common Multiples of 570

Related Least Common Multiples of 575

Frequently Asked Questions on LCM of 570 and 575

1. What is the LCM of 570 and 575?

Answer: LCM of 570 and 575 is 65550.

2. What are the Factors of 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

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 570 and 575?

Answer:

Least Common Multiple of 570 and 575 = 65550

Step 1: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

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 = 65550 = 2 x 3 x 5 x 5 x 19 x 23

Step 4: Therefore, the least common multiple of 570 and 575 is 65550.