Least Common Multiple of 556 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 556 and 558 the smallest integer that is 155124 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 558 is 155124.

LCM(556,558) = 155124

LCM of 556 and 558

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

LCM of:
and

Least Common Multiple of 556 and 558

LCM of 556 and 558 is 155124

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 558. First we will calculate the prime factors of 556 and 558.

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

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 556 and 558.

LCM(556,558) = 22×32×311×1391
LCM(556,558) = 155124

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 556 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 556 and 558, than apply into the LCM equation.

GCF(556,558) = 2
LCM(556,558) = ( 556 × 558) / 2
LCM(556,558) = 310248 / 2
LCM(556,558) = 155124

Properties of LCM 556 and 558

(i) The LCM of 558 and 556 is associative

LCM of 556 and 558 = LCM of 558 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 558

Frequently Asked Questions on LCM of 556 and 558

1. What is the LCM of 556 and 558?

Answer: LCM of 556 and 558 is 155124.

2. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

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 556 and 558?

Answer:

Least Common Multiple of 556 and 558 = 155124

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

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 = 155124 = 2 x 2 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 556 and 558 is 155124.