Least Common Multiple of 558 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 558 and 561 the smallest integer that is 104346 that is divisible by both numbers.

Least Common Multiple (LCM) of 558 and 561 is 104346.

LCM(558,561) = 104346

LCM of 558 and 561

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

LCM of:
and

Least Common Multiple of 558 and 561

LCM of 558 and 561 is 104346

Least common multiple can be found by multiplying the highest exponent prime factors of 558 and 561. First we will calculate the prime factors of 558 and 561.

Prime Factorization of 558


2 558
3 279
3 93
31 31
1

Prime factors of 558 are 2, 3,31. Prime factorization of 558 in exponential form is:

558 = 21×32×311

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 558 and 561.

LCM(558,561) = 21×32×111×171×311
LCM(558,561) = 104346

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 558 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 558 and 561, than apply into the LCM equation.

GCF(558,561) = 3
LCM(558,561) = ( 558 × 561) / 3
LCM(558,561) = 313038 / 3
LCM(558,561) = 104346

Properties of LCM 558 and 561

(i) The LCM of 561 and 558 is associative

LCM of 558 and 561 = LCM of 561 and 558

Related Least Common Multiples of 558

Related Least Common Multiples of 561

Frequently Asked Questions on LCM of 558 and 561

1. What is the LCM of 558 and 561?

Answer: LCM of 558 and 561 is 104346.

2. What are the Factors of 558?

Answer: Factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. There are 12 integers that are factors of 558. The greatest factor of 558 is 558.

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 558 and 561?

Answer:

Least Common Multiple of 558 and 561 = 104346

Step 1: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

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 = 104346 = 2 x 3 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 558 and 561 is 104346.