Least Common Multiple of 562 and 563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 562 and 563 the smallest integer that is 316406 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 563 is 316406.

LCM(562,563) = 316406

LCM of 562 and 563

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

LCM of:
and

Least Common Multiple of 562 and 563

LCM of 562 and 563 is 316406

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 563. First we will calculate the prime factors of 562 and 563.

Prime Factorization of 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

Prime Factorization of 563


563 563
1

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

563 = 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 563.

LCM(562,563) = 21×2811×5631
LCM(562,563) = 316406

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Factors of 563

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

1, 563

Least Common Multiple of 562 and 563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 562 and 563, than apply into the LCM equation.

GCF(562,563) = 1
LCM(562,563) = ( 562 × 563) / 1
LCM(562,563) = 316406 / 1
LCM(562,563) = 316406

Properties of LCM 562 and 563

(i) The LCM of 563 and 562 is associative

LCM of 562 and 563 = LCM of 563 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 563

Frequently Asked Questions on LCM of 562 and 563

1. What is the LCM of 562 and 563?

Answer: LCM of 562 and 563 is 316406.

2. What are the Factors of 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

3. 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.

4. How to Find the LCM of 562 and 563?

Answer:

Least Common Multiple of 562 and 563 = 316406

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 563

563 = 563

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

LCM = 316406 = 2 x 281 x 563

Step 4: Therefore, the least common multiple of 562 and 563 is 316406.