Least Common Multiple of 571 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 571 and 578 the smallest integer that is 330038 that is divisible by both numbers.

Least Common Multiple (LCM) of 571 and 578 is 330038.

LCM(571,578) = 330038

LCM of 571 and 578

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

LCM of:
and

Least Common Multiple of 571 and 578

LCM of 571 and 578 is 330038

Least common multiple can be found by multiplying the highest exponent prime factors of 571 and 578. First we will calculate the prime factors of 571 and 578.

Prime Factorization of 571


571 571
1

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 5711

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 571 and 578.

LCM(571,578) = 21×172×5711
LCM(571,578) = 330038

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1, 571

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 571 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 571 and 578, than apply into the LCM equation.

GCF(571,578) = 1
LCM(571,578) = ( 571 × 578) / 1
LCM(571,578) = 330038 / 1
LCM(571,578) = 330038

Properties of LCM 571 and 578

(i) The LCM of 578 and 571 is associative

LCM of 571 and 578 = LCM of 578 and 571

Related Least Common Multiples of 571

Related Least Common Multiples of 578

Frequently Asked Questions on LCM of 571 and 578

1. What is the LCM of 571 and 578?

Answer: LCM of 571 and 578 is 330038.

2. What are the Factors of 571?

Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.

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 571 and 578?

Answer:

Least Common Multiple of 571 and 578 = 330038

Step 1: Find the prime factorization of 571

571 = 571

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 = 330038 = 2 x 17 x 17 x 571

Step 4: Therefore, the least common multiple of 571 and 578 is 330038.