Least Common Multiple of 555 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 555 and 560 the smallest integer that is 62160 that is divisible by both numbers.

Least Common Multiple (LCM) of 555 and 560 is 62160.

LCM(555,560) = 62160

LCM of 555 and 560

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

LCM of:
and

Least Common Multiple of 555 and 560

LCM of 555 and 560 is 62160

Least common multiple can be found by multiplying the highest exponent prime factors of 555 and 560. First we will calculate the prime factors of 555 and 560.

Prime Factorization of 555


3 555
5 185
37 37
1

Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

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 555 and 560.

LCM(555,560) = 24×31×51×71×371
LCM(555,560) = 62160

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

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 555 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 555 and 560, than apply into the LCM equation.

GCF(555,560) = 5
LCM(555,560) = ( 555 × 560) / 5
LCM(555,560) = 310800 / 5
LCM(555,560) = 62160

Properties of LCM 555 and 560

(i) The LCM of 560 and 555 is associative

LCM of 555 and 560 = LCM of 560 and 555

Related Least Common Multiples of 555

Related Least Common Multiples of 560

Frequently Asked Questions on LCM of 555 and 560

1. What is the LCM of 555 and 560?

Answer: LCM of 555 and 560 is 62160.

2. What are the Factors of 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

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 555 and 560?

Answer:

Least Common Multiple of 555 and 560 = 62160

Step 1: Find the prime factorization of 555

555 = 3 x 5 x 37

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 = 62160 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 37

Step 4: Therefore, the least common multiple of 555 and 560 is 62160.