Least Common Multiple of 561 and 568

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 568 the smallest integer that is 318648 that is divisible by both numbers.

Least Common Multiple (LCM) of 561 and 568 is 318648.

LCM(561,568) = 318648

LCM of 561 and 568

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

LCM of:
and

Least Common Multiple of 561 and 568

LCM of 561 and 568 is 318648

Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 568. First we will calculate the prime factors of 561 and 568.

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 568


2 568
2 284
2 142
71 71
1

Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:

568 = 23×711

Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 568.

LCM(561,568) = 23×31×111×171×711
LCM(561,568) = 318648

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 568

List of positive integer factors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Least Common Multiple of 561 and 568 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 568, than apply into the LCM equation.

GCF(561,568) = 1
LCM(561,568) = ( 561 × 568) / 1
LCM(561,568) = 318648 / 1
LCM(561,568) = 318648

Properties of LCM 561 and 568

(i) The LCM of 568 and 561 is associative

LCM of 561 and 568 = LCM of 568 and 561

Related Least Common Multiples of 561

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 561 and 568

1. What is the LCM of 561 and 568?

Answer: LCM of 561 and 568 is 318648.

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 568?

Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.

4. How to Find the LCM of 561 and 568?

Answer:

Least Common Multiple of 561 and 568 = 318648

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

Step 2: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

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

LCM = 318648 = 2 x 2 x 2 x 3 x 11 x 17 x 71

Step 4: Therefore, the least common multiple of 561 and 568 is 318648.