Least Common Multiple of 572 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 572 and 578 the smallest integer that is 165308 that is divisible by both numbers.

Least Common Multiple (LCM) of 572 and 578 is 165308.

LCM(572,578) = 165308

LCM of 572 and 578

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

LCM of:
and

Least Common Multiple of 572 and 578

LCM of 572 and 578 is 165308

Least common multiple can be found by multiplying the highest exponent prime factors of 572 and 578. First we will calculate the prime factors of 572 and 578.

Prime Factorization of 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

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 572 and 578.

LCM(572,578) = 22×111×131×172
LCM(572,578) = 165308

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 572 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 572 and 578, than apply into the LCM equation.

GCF(572,578) = 2
LCM(572,578) = ( 572 × 578) / 2
LCM(572,578) = 330616 / 2
LCM(572,578) = 165308

Properties of LCM 572 and 578

(i) The LCM of 578 and 572 is associative

LCM of 572 and 578 = LCM of 578 and 572

Related Least Common Multiples of 572

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 572 and 578

1. What is the LCM of 572 and 578?

Answer: LCM of 572 and 578 is 165308.

2. What are the Factors of 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

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 572 and 578?

Answer:

Least Common Multiple of 572 and 578 = 165308

Step 1: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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 = 165308 = 2 x 2 x 11 x 13 x 17 x 17

Step 4: Therefore, the least common multiple of 572 and 578 is 165308.