Least Common Multiple of 554 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 554 and 561 the smallest integer that is 310794 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 561 is 310794.

LCM(554,561) = 310794

LCM of 554 and 561

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

LCM of:
and

Least Common Multiple of 554 and 561

LCM of 554 and 561 is 310794

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 561. First we will calculate the prime factors of 554 and 561.

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

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 554 and 561.

LCM(554,561) = 21×31×111×171×2771
LCM(554,561) = 310794

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 554 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 554 and 561, than apply into the LCM equation.

GCF(554,561) = 1
LCM(554,561) = ( 554 × 561) / 1
LCM(554,561) = 310794 / 1
LCM(554,561) = 310794

Properties of LCM 554 and 561

(i) The LCM of 561 and 554 is associative

LCM of 554 and 561 = LCM of 561 and 554

Frequently Asked Questions on LCM of 554 and 561

1. What is the LCM of 554 and 561?

Answer: LCM of 554 and 561 is 310794.

2. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

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 554 and 561?

Answer:

Least Common Multiple of 554 and 561 = 310794

Step 1: Find the prime factorization of 554

554 = 2 x 277

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 = 310794 = 2 x 3 x 11 x 17 x 277

Step 4: Therefore, the least common multiple of 554 and 561 is 310794.