Least Common Multiple of 552 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 552 and 558 the smallest integer that is 51336 that is divisible by both numbers.

Least Common Multiple (LCM) of 552 and 558 is 51336.

LCM(552,558) = 51336

LCM of 552 and 558

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

LCM of:
and

Least Common Multiple of 552 and 558

LCM of 552 and 558 is 51336

Least common multiple can be found by multiplying the highest exponent prime factors of 552 and 558. First we will calculate the prime factors of 552 and 558.

Prime Factorization of 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

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 552 and 558.

LCM(552,558) = 23×32×231×311
LCM(552,558) = 51336

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 552 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 552 and 558, than apply into the LCM equation.

GCF(552,558) = 6
LCM(552,558) = ( 552 × 558) / 6
LCM(552,558) = 308016 / 6
LCM(552,558) = 51336

Properties of LCM 552 and 558

(i) The LCM of 558 and 552 is associative

LCM of 552 and 558 = LCM of 558 and 552

Related Least Common Multiples of 552

Related Least Common Multiples of 558

Frequently Asked Questions on LCM of 552 and 558

1. What is the LCM of 552 and 558?

Answer: LCM of 552 and 558 is 51336.

2. What are the Factors of 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

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 552 and 558?

Answer:

Least Common Multiple of 552 and 558 = 51336

Step 1: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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 = 51336 = 2 x 2 x 2 x 3 x 3 x 23 x 31

Step 4: Therefore, the least common multiple of 552 and 558 is 51336.