Least Common Multiple of 559 and 561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 559 and 561 the smallest integer that is 313599 that is divisible by both numbers.

Least Common Multiple (LCM) of 559 and 561 is 313599.

LCM(559,561) = 313599

LCM of 559 and 561

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

LCM of:
and

Least Common Multiple of 559 and 561

LCM of 559 and 561 is 313599

Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 561. First we will calculate the prime factors of 559 and 561.

Prime Factorization of 559


13 559
43 43
1

Prime factors of 559 are 13,43. Prime factorization of 559 in exponential form is:

559 = 131×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 561.

LCM(559,561) = 31×111×131×171×431
LCM(559,561) = 313599

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Factors of 561

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

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

Least Common Multiple of 559 and 561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 559 and 561, than apply into the LCM equation.

GCF(559,561) = 1
LCM(559,561) = ( 559 × 561) / 1
LCM(559,561) = 313599 / 1
LCM(559,561) = 313599

Properties of LCM 559 and 561

(i) The LCM of 561 and 559 is associative

LCM of 559 and 561 = LCM of 561 and 559

Related Least Common Multiples of 559

Related Least Common Multiples of 561

Frequently Asked Questions on LCM of 559 and 561

1. What is the LCM of 559 and 561?

Answer: LCM of 559 and 561 is 313599.

2. What are the Factors of 559?

Answer: Factors of 559 are 1, 13, 43, 559. There are 4 integers that are factors of 559. The greatest factor of 559 is 559.

3. 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.

4. How to Find the LCM of 559 and 561?

Answer:

Least Common Multiple of 559 and 561 = 313599

Step 1: Find the prime factorization of 559

559 = 13 x 43

Step 2: Find the prime factorization of 561

561 = 3 x 11 x 17

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

LCM = 313599 = 3 x 11 x 13 x 17 x 43

Step 4: Therefore, the least common multiple of 559 and 561 is 313599.