Least Common Multiple of 561 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 561 and 566 the smallest integer that is 317526 that is divisible by both numbers.

Least Common Multiple (LCM) of 561 and 566 is 317526.

LCM(561,566) = 317526

LCM of 561 and 566

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

LCM of:
and

Least Common Multiple of 561 and 566

LCM of 561 and 566 is 317526

Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 566. First we will calculate the prime factors of 561 and 566.

Prime Factorization of 561


3 561
11 187
17 17
1

Prime factors of 561 are 3, 11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

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 561 and 566.

LCM(561,566) = 21×31×111×171×2831
LCM(561,566) = 317526

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Factors of 566

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

1, 2, 283, 566

Least Common Multiple of 561 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 561 and 566, than apply into the LCM equation.

GCF(561,566) = 1
LCM(561,566) = ( 561 × 566) / 1
LCM(561,566) = 317526 / 1
LCM(561,566) = 317526

Properties of LCM 561 and 566

(i) The LCM of 566 and 561 is associative

LCM of 561 and 566 = LCM of 566 and 561

Related Least Common Multiples of 561

Related Least Common Multiples of 566

Frequently Asked Questions on LCM of 561 and 566

1. What is the LCM of 561 and 566?

Answer: LCM of 561 and 566 is 317526.

2. What are the Factors of 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

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 561 and 566?

Answer:

Least Common Multiple of 561 and 566 = 317526

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

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 = 317526 = 2 x 3 x 11 x 17 x 283

Step 4: Therefore, the least common multiple of 561 and 566 is 317526.