Least Common Multiple of 565 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 565 and 566 the smallest integer that is 319790 that is divisible by both numbers.

Least Common Multiple (LCM) of 565 and 566 is 319790.

LCM(565,566) = 319790

LCM of 565 and 566

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

LCM of:
and

Least Common Multiple of 565 and 566

LCM of 565 and 566 is 319790

Least common multiple can be found by multiplying the highest exponent prime factors of 565 and 566. First we will calculate the prime factors of 565 and 566.

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

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 565 and 566.

LCM(565,566) = 21×51×1131×2831
LCM(565,566) = 319790

Factors of 565

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

1, 5, 113, 565

Factors of 566

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

1, 2, 283, 566

Least Common Multiple of 565 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 565 and 566, than apply into the LCM equation.

GCF(565,566) = 1
LCM(565,566) = ( 565 × 566) / 1
LCM(565,566) = 319790 / 1
LCM(565,566) = 319790

Properties of LCM 565 and 566

(i) The LCM of 566 and 565 is associative

LCM of 565 and 566 = LCM of 566 and 565

Related Least Common Multiples of 565

Related Least Common Multiples of 566

Frequently Asked Questions on LCM of 565 and 566

1. What is the LCM of 565 and 566?

Answer: LCM of 565 and 566 is 319790.

2. 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.

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 565 and 566?

Answer:

Least Common Multiple of 565 and 566 = 319790

Step 1: Find the prime factorization of 565

565 = 5 x 113

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 = 319790 = 2 x 5 x 113 x 283

Step 4: Therefore, the least common multiple of 565 and 566 is 319790.