Least Common Multiple of 558 and 560

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 560 the smallest integer that is 156240 that is divisible by both numbers.

Least Common Multiple (LCM) of 558 and 560 is 156240.

LCM(558,560) = 156240

LCM of 558 and 560

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

LCM of:
and

Least Common Multiple of 558 and 560

LCM of 558 and 560 is 156240

Least common multiple can be found by multiplying the highest exponent prime factors of 558 and 560. First we will calculate the prime factors of 558 and 560.

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 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2, 5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 558 and 560.

LCM(558,560) = 24×32×51×71×311
LCM(558,560) = 156240

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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Least Common Multiple of 558 and 560 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 560, than apply into the LCM equation.

GCF(558,560) = 2
LCM(558,560) = ( 558 × 560) / 2
LCM(558,560) = 312480 / 2
LCM(558,560) = 156240

Properties of LCM 558 and 560

(i) The LCM of 560 and 558 is associative

LCM of 558 and 560 = LCM of 560 and 558

Related Least Common Multiples of 558

Related Least Common Multiples of 560

Frequently Asked Questions on LCM of 558 and 560

1. What is the LCM of 558 and 560?

Answer: LCM of 558 and 560 is 156240.

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 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the LCM of 558 and 560?

Answer:

Least Common Multiple of 558 and 560 = 156240

Step 1: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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

LCM = 156240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 558 and 560 is 156240.