Least Common Multiple of 554 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 554 and 558 the smallest integer that is 154566 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 558 is 154566.

LCM(554,558) = 154566

LCM of 554 and 558

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

LCM of:
and

Least Common Multiple of 554 and 558

LCM of 554 and 558 is 154566

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 558. First we will calculate the prime factors of 554 and 558.

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

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 554 and 558.

LCM(554,558) = 21×32×311×2771
LCM(554,558) = 154566

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 554 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 554 and 558, than apply into the LCM equation.

GCF(554,558) = 2
LCM(554,558) = ( 554 × 558) / 2
LCM(554,558) = 309132 / 2
LCM(554,558) = 154566

Properties of LCM 554 and 558

(i) The LCM of 558 and 554 is associative

LCM of 554 and 558 = LCM of 558 and 554

Related Least Common Multiples of 554

Related Least Common Multiples of 558

Frequently Asked Questions on LCM of 554 and 558

1. What is the LCM of 554 and 558?

Answer: LCM of 554 and 558 is 154566.

2. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

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 554 and 558?

Answer:

Least Common Multiple of 554 and 558 = 154566

Step 1: Find the prime factorization of 554

554 = 2 x 277

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 = 154566 = 2 x 3 x 3 x 31 x 277

Step 4: Therefore, the least common multiple of 554 and 558 is 154566.