Least Common Multiple of 560 and 561

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 561 the smallest integer that is 314160 that is divisible by both numbers.

Least Common Multiple (LCM) of 560 and 561 is 314160.

LCM(560,561) = 314160

LCM of 560 and 561

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

LCM of:
and

Least Common Multiple of 560 and 561

LCM of 560 and 561 is 314160

Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 561. First we will calculate the prime factors of 560 and 561.

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 561


3 561
11 187
17 17
1

Prime factors of 561 are 3, 11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 560 and 561.

LCM(560,561) = 24×31×51×71×111×171
LCM(560,561) = 314160

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 561

List of positive integer factors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Least Common Multiple of 560 and 561 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 561, than apply into the LCM equation.

GCF(560,561) = 1
LCM(560,561) = ( 560 × 561) / 1
LCM(560,561) = 314160 / 1
LCM(560,561) = 314160

Properties of LCM 560 and 561

(i) The LCM of 561 and 560 is associative

LCM of 560 and 561 = LCM of 561 and 560

Related Least Common Multiples of 560

Related Least Common Multiples of 561

Frequently Asked Questions on LCM of 560 and 561

1. What is the LCM of 560 and 561?

Answer: LCM of 560 and 561 is 314160.

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 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

4. How to Find the LCM of 560 and 561?

Answer:

Least Common Multiple of 560 and 561 = 314160

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 561

561 = 3 x 11 x 17

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

LCM = 314160 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 560 and 561 is 314160.