Least Common Multiple of 560 and 566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 560 and 566 the smallest integer that is 158480 that is divisible by both numbers.

Least Common Multiple (LCM) of 560 and 566 is 158480.

LCM(560,566) = 158480

LCM of 560 and 566

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

LCM of:
and

Least Common Multiple of 560 and 566

LCM of 560 and 566 is 158480

Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 566. First we will calculate the prime factors of 560 and 566.

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

Prime Factorization of 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 560 and 566.

LCM(560,566) = 24×51×71×2831
LCM(560,566) = 158480

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

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Least Common Multiple of 560 and 566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 560 and 566, than apply into the LCM equation.

GCF(560,566) = 2
LCM(560,566) = ( 560 × 566) / 2
LCM(560,566) = 316960 / 2
LCM(560,566) = 158480

Properties of LCM 560 and 566

(i) The LCM of 566 and 560 is associative

LCM of 560 and 566 = LCM of 566 and 560

Related Least Common Multiples of 560

Related Least Common Multiples of 566

Frequently Asked Questions on LCM of 560 and 566

1. What is the LCM of 560 and 566?

Answer: LCM of 560 and 566 is 158480.

2. 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.

3. What are the Factors of 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

4. How to Find the LCM of 560 and 566?

Answer:

Least Common Multiple of 560 and 566 = 158480

Step 1: Find the prime factorization of 560

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

Step 2: Find the prime factorization of 566

566 = 2 x 283

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

LCM = 158480 = 2 x 2 x 2 x 2 x 5 x 7 x 283

Step 4: Therefore, the least common multiple of 560 and 566 is 158480.