Least Common Multiple of 556 and 559

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 559 the smallest integer that is 310804 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 559 is 310804.

LCM(556,559) = 310804

LCM of 556 and 559

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

LCM of:
and

Least Common Multiple of 556 and 559

LCM of 556 and 559 is 310804

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 559. First we will calculate the prime factors of 556 and 559.

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 559


13 559
43 43
1

Prime factors of 559 are 13,43. Prime factorization of 559 in exponential form is:

559 = 131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 559.

LCM(556,559) = 22×131×431×1391
LCM(556,559) = 310804

Factors of 556

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

1, 2, 4, 139, 278, 556

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Least Common Multiple of 556 and 559 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 559, than apply into the LCM equation.

GCF(556,559) = 1
LCM(556,559) = ( 556 × 559) / 1
LCM(556,559) = 310804 / 1
LCM(556,559) = 310804

Properties of LCM 556 and 559

(i) The LCM of 559 and 556 is associative

LCM of 556 and 559 = LCM of 559 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 559

Frequently Asked Questions on LCM of 556 and 559

1. What is the LCM of 556 and 559?

Answer: LCM of 556 and 559 is 310804.

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 559?

Answer: Factors of 559 are 1, 13, 43, 559. There are 4 integers that are factors of 559. The greatest factor of 559 is 559.

4. How to Find the LCM of 556 and 559?

Answer:

Least Common Multiple of 556 and 559 = 310804

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 559

559 = 13 x 43

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

LCM = 310804 = 2 x 2 x 13 x 43 x 139

Step 4: Therefore, the least common multiple of 556 and 559 is 310804.