Least Common Multiple of 563 and 565

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 565 the smallest integer that is 318095 that is divisible by both numbers.

Least Common Multiple (LCM) of 563 and 565 is 318095.

LCM(563,565) = 318095

LCM of 563 and 565

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

LCM of:
and

Least Common Multiple of 563 and 565

LCM of 563 and 565 is 318095

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 565. First we will calculate the prime factors of 563 and 565.

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 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 565.

LCM(563,565) = 51×1131×5631
LCM(563,565) = 318095

Factors of 563

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

1, 563

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Least Common Multiple of 563 and 565 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 565, than apply into the LCM equation.

GCF(563,565) = 1
LCM(563,565) = ( 563 × 565) / 1
LCM(563,565) = 318095 / 1
LCM(563,565) = 318095

Properties of LCM 563 and 565

(i) The LCM of 565 and 563 is associative

LCM of 563 and 565 = LCM of 565 and 563

Related Least Common Multiples of 563

Related Least Common Multiples of 565

Frequently Asked Questions on LCM of 563 and 565

1. What is the LCM of 563 and 565?

Answer: LCM of 563 and 565 is 318095.

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 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

4. How to Find the LCM of 563 and 565?

Answer:

Least Common Multiple of 563 and 565 = 318095

Step 1: Find the prime factorization of 563

563 = 563

Step 2: Find the prime factorization of 565

565 = 5 x 113

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

LCM = 318095 = 5 x 113 x 563

Step 4: Therefore, the least common multiple of 563 and 565 is 318095.