Least Common Multiple of 566 and 569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 566 and 569 the smallest integer that is 322054 that is divisible by both numbers.

Least Common Multiple (LCM) of 566 and 569 is 322054.

LCM(566,569) = 322054

LCM of 566 and 569

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

LCM of:
and

Least Common Multiple of 566 and 569

LCM of 566 and 569 is 322054

Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 569. First we will calculate the prime factors of 566 and 569.

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

Prime Factorization of 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 566 and 569.

LCM(566,569) = 21×2831×5691
LCM(566,569) = 322054

Factors of 566

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

1, 2, 283, 566

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

Least Common Multiple of 566 and 569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 566 and 569, than apply into the LCM equation.

GCF(566,569) = 1
LCM(566,569) = ( 566 × 569) / 1
LCM(566,569) = 322054 / 1
LCM(566,569) = 322054

Properties of LCM 566 and 569

(i) The LCM of 569 and 566 is associative

LCM of 566 and 569 = LCM of 569 and 566

Related Least Common Multiples of 566

Related Least Common Multiples of 569

Frequently Asked Questions on LCM of 566 and 569

1. What is the LCM of 566 and 569?

Answer: LCM of 566 and 569 is 322054.

2. 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.

3. What are the Factors of 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

4. How to Find the LCM of 566 and 569?

Answer:

Least Common Multiple of 566 and 569 = 322054

Step 1: Find the prime factorization of 566

566 = 2 x 283

Step 2: Find the prime factorization of 569

569 = 569

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

LCM = 322054 = 2 x 283 x 569

Step 4: Therefore, the least common multiple of 566 and 569 is 322054.