Least Common Multiple of 563 and 564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 563 and 564 the smallest integer that is 317532 that is divisible by both numbers.

Least Common Multiple (LCM) of 563 and 564 is 317532.

LCM(563,564) = 317532

LCM of 563 and 564

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

LCM of:
and

Least Common Multiple of 563 and 564

LCM of 563 and 564 is 317532

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 564. First we will calculate the prime factors of 563 and 564.

Prime Factorization of 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 564.

LCM(563,564) = 22×31×471×5631
LCM(563,564) = 317532

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1, 563

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

Least Common Multiple of 563 and 564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 563 and 564, than apply into the LCM equation.

GCF(563,564) = 1
LCM(563,564) = ( 563 × 564) / 1
LCM(563,564) = 317532 / 1
LCM(563,564) = 317532

Properties of LCM 563 and 564

(i) The LCM of 564 and 563 is associative

LCM of 563 and 564 = LCM of 564 and 563

Related Least Common Multiples of 563

Related Least Common Multiples of 564

Frequently Asked Questions on LCM of 563 and 564

1. What is the LCM of 563 and 564?

Answer: LCM of 563 and 564 is 317532.

2. What are the Factors of 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

3. 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.

4. How to Find the LCM of 563 and 564?

Answer:

Least Common Multiple of 563 and 564 = 317532

Step 1: Find the prime factorization of 563

563 = 563

Step 2: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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

LCM = 317532 = 2 x 2 x 3 x 47 x 563

Step 4: Therefore, the least common multiple of 563 and 564 is 317532.