Least Common Multiple of 557 and 558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 557 and 558 the smallest integer that is 310806 that is divisible by both numbers.

Least Common Multiple (LCM) of 557 and 558 is 310806.

LCM(557,558) = 310806

LCM of 557 and 558

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

LCM of:
and

Least Common Multiple of 557 and 558

LCM of 557 and 558 is 310806

Least common multiple can be found by multiplying the highest exponent prime factors of 557 and 558. First we will calculate the prime factors of 557 and 558.

Prime Factorization of 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 557 and 558.

LCM(557,558) = 21×32×311×5571
LCM(557,558) = 310806

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1, 557

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

Least Common Multiple of 557 and 558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 557 and 558, than apply into the LCM equation.

GCF(557,558) = 1
LCM(557,558) = ( 557 × 558) / 1
LCM(557,558) = 310806 / 1
LCM(557,558) = 310806

Properties of LCM 557 and 558

(i) The LCM of 558 and 557 is associative

LCM of 557 and 558 = LCM of 558 and 557

Related Least Common Multiples of 557

Related Least Common Multiples of 558

Frequently Asked Questions on LCM of 557 and 558

1. What is the LCM of 557 and 558?

Answer: LCM of 557 and 558 is 310806.

2. What are the Factors of 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

3. 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.

4. How to Find the LCM of 557 and 558?

Answer:

Least Common Multiple of 557 and 558 = 310806

Step 1: Find the prime factorization of 557

557 = 557

Step 2: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

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

LCM = 310806 = 2 x 3 x 3 x 31 x 557

Step 4: Therefore, the least common multiple of 557 and 558 is 310806.