Least Common Multiple of 563 and 566

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 566 the smallest integer that is 318658 that is divisible by both numbers.

Least Common Multiple (LCM) of 563 and 566 is 318658.

LCM(563,566) = 318658

LCM of 563 and 566

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

LCM of:
and

Least Common Multiple of 563 and 566

LCM of 563 and 566 is 318658

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 566. First we will calculate the prime factors of 563 and 566.

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 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 566.

LCM(563,566) = 21×2831×5631
LCM(563,566) = 318658

Factors of 563

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

1, 563

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Least Common Multiple of 563 and 566 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 566, than apply into the LCM equation.

GCF(563,566) = 1
LCM(563,566) = ( 563 × 566) / 1
LCM(563,566) = 318658 / 1
LCM(563,566) = 318658

Properties of LCM 563 and 566

(i) The LCM of 566 and 563 is associative

LCM of 563 and 566 = LCM of 566 and 563

Related Least Common Multiples of 563

Related Least Common Multiples of 566

Frequently Asked Questions on LCM of 563 and 566

1. What is the LCM of 563 and 566?

Answer: LCM of 563 and 566 is 318658.

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 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

4. How to Find the LCM of 563 and 566?

Answer:

Least Common Multiple of 563 and 566 = 318658

Step 1: Find the prime factorization of 563

563 = 563

Step 2: Find the prime factorization of 566

566 = 2 x 283

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

LCM = 318658 = 2 x 283 x 563

Step 4: Therefore, the least common multiple of 563 and 566 is 318658.