Least Common Multiple of 556 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 556 and 561 the smallest integer that is 311916 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 561 is 311916.

LCM(556,561) = 311916

LCM of 556 and 561

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

LCM of:
and

Least Common Multiple of 556 and 561

LCM of 556 and 561 is 311916

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 561. First we will calculate the prime factors of 556 and 561.

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

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 556 and 561.

LCM(556,561) = 22×31×111×171×1391
LCM(556,561) = 311916

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 556 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 556 and 561, than apply into the LCM equation.

GCF(556,561) = 1
LCM(556,561) = ( 556 × 561) / 1
LCM(556,561) = 311916 / 1
LCM(556,561) = 311916

Properties of LCM 556 and 561

(i) The LCM of 561 and 556 is associative

LCM of 556 and 561 = LCM of 561 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 561

Frequently Asked Questions on LCM of 556 and 561

1. What is the LCM of 556 and 561?

Answer: LCM of 556 and 561 is 311916.

2. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

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 556 and 561?

Answer:

Least Common Multiple of 556 and 561 = 311916

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

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 = 311916 = 2 x 2 x 3 x 11 x 17 x 139

Step 4: Therefore, the least common multiple of 556 and 561 is 311916.