Least Common Multiple of 564 and 571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 564 and 571 the smallest integer that is 322044 that is divisible by both numbers.

Least Common Multiple (LCM) of 564 and 571 is 322044.

LCM(564,571) = 322044

LCM of 564 and 571

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

LCM of:
and

Least Common Multiple of 564 and 571

LCM of 564 and 571 is 322044

Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 571. First we will calculate the prime factors of 564 and 571.

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

Prime Factorization of 571


571 571
1

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

571 = 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 564 and 571.

LCM(564,571) = 22×31×471×5711
LCM(564,571) = 322044

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Factors of 571

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

1, 571

Least Common Multiple of 564 and 571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 564 and 571, than apply into the LCM equation.

GCF(564,571) = 1
LCM(564,571) = ( 564 × 571) / 1
LCM(564,571) = 322044 / 1
LCM(564,571) = 322044

Properties of LCM 564 and 571

(i) The LCM of 571 and 564 is associative

LCM of 564 and 571 = LCM of 571 and 564

Related Least Common Multiples of 564

Related Least Common Multiples of 571

Frequently Asked Questions on LCM of 564 and 571

1. What is the LCM of 564 and 571?

Answer: LCM of 564 and 571 is 322044.

2. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

3. 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.

4. How to Find the LCM of 564 and 571?

Answer:

Least Common Multiple of 564 and 571 = 322044

Step 1: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 571

571 = 571

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

LCM = 322044 = 2 x 2 x 3 x 47 x 571

Step 4: Therefore, the least common multiple of 564 and 571 is 322044.