Least Common Multiple of 570 and 578

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 578 the smallest integer that is 164730 that is divisible by both numbers.

Least Common Multiple (LCM) of 570 and 578 is 164730.

LCM(570,578) = 164730

LCM of 570 and 578

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

LCM of:
and

Least Common Multiple of 570 and 578

LCM of 570 and 578 is 164730

Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 578. First we will calculate the prime factors of 570 and 578.

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 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

Now multiplying the highest exponent prime factors to calculate the LCM of 570 and 578.

LCM(570,578) = 21×31×51×172×191
LCM(570,578) = 164730

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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Least Common Multiple of 570 and 578 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 578, than apply into the LCM equation.

GCF(570,578) = 2
LCM(570,578) = ( 570 × 578) / 2
LCM(570,578) = 329460 / 2
LCM(570,578) = 164730

Properties of LCM 570 and 578

(i) The LCM of 578 and 570 is associative

LCM of 570 and 578 = LCM of 578 and 570

Related Least Common Multiples of 570

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 570 and 578

1. What is the LCM of 570 and 578?

Answer: LCM of 570 and 578 is 164730.

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 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

4. How to Find the LCM of 570 and 578?

Answer:

Least Common Multiple of 570 and 578 = 164730

Step 1: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 578

578 = 2 x 17 x 17

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

LCM = 164730 = 2 x 3 x 5 x 17 x 17 x 19

Step 4: Therefore, the least common multiple of 570 and 578 is 164730.