Least Common Multiple of 558 and 559

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 559 the smallest integer that is 311922 that is divisible by both numbers.

Least Common Multiple (LCM) of 558 and 559 is 311922.

LCM(558,559) = 311922

LCM of 558 and 559

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

LCM of:
and

Least Common Multiple of 558 and 559

LCM of 558 and 559 is 311922

Least common multiple can be found by multiplying the highest exponent prime factors of 558 and 559. First we will calculate the prime factors of 558 and 559.

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 559


13 559
43 43
1

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

559 = 131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 558 and 559.

LCM(558,559) = 21×32×131×311×431
LCM(558,559) = 311922

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 559

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

1, 13, 43, 559

Least Common Multiple of 558 and 559 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 559, than apply into the LCM equation.

GCF(558,559) = 1
LCM(558,559) = ( 558 × 559) / 1
LCM(558,559) = 311922 / 1
LCM(558,559) = 311922

Properties of LCM 558 and 559

(i) The LCM of 559 and 558 is associative

LCM of 558 and 559 = LCM of 559 and 558

Related Least Common Multiples of 558

Related Least Common Multiples of 559

Frequently Asked Questions on LCM of 558 and 559

1. What is the LCM of 558 and 559?

Answer: LCM of 558 and 559 is 311922.

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 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.

4. How to Find the LCM of 558 and 559?

Answer:

Least Common Multiple of 558 and 559 = 311922

Step 1: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 559

559 = 13 x 43

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

LCM = 311922 = 2 x 3 x 3 x 13 x 31 x 43

Step 4: Therefore, the least common multiple of 558 and 559 is 311922.