Least Common Multiple of 555 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 555 and 561 the smallest integer that is 103785 that is divisible by both numbers.

Least Common Multiple (LCM) of 555 and 561 is 103785.

LCM(555,561) = 103785

LCM of 555 and 561

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

LCM of:
and

Least Common Multiple of 555 and 561

LCM of 555 and 561 is 103785

Least common multiple can be found by multiplying the highest exponent prime factors of 555 and 561. First we will calculate the prime factors of 555 and 561.

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 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 555 and 561.

LCM(555,561) = 31×51×111×171×371
LCM(555,561) = 103785

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 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 555 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 555 and 561, than apply into the LCM equation.

GCF(555,561) = 3
LCM(555,561) = ( 555 × 561) / 3
LCM(555,561) = 311355 / 3
LCM(555,561) = 103785

Properties of LCM 555 and 561

(i) The LCM of 561 and 555 is associative

LCM of 555 and 561 = LCM of 561 and 555

Related Least Common Multiples of 555

Related Least Common Multiples of 561

Frequently Asked Questions on LCM of 555 and 561

1. What is the LCM of 555 and 561?

Answer: LCM of 555 and 561 is 103785.

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 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 555 and 561?

Answer:

Least Common Multiple of 555 and 561 = 103785

Step 1: Find the prime factorization of 555

555 = 3 x 5 x 37

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 = 103785 = 3 x 5 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 555 and 561 is 103785.