Least Common Multiple of 556 and 563

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 563 the smallest integer that is 313028 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 563 is 313028.

LCM(556,563) = 313028

LCM of 556 and 563

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

LCM of:
and

Least Common Multiple of 556 and 563

LCM of 556 and 563 is 313028

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 563. First we will calculate the prime factors of 556 and 563.

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 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 563.

LCM(556,563) = 22×1391×5631
LCM(556,563) = 313028

Factors of 556

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

1, 2, 4, 139, 278, 556

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1, 563

Least Common Multiple of 556 and 563 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 563, than apply into the LCM equation.

GCF(556,563) = 1
LCM(556,563) = ( 556 × 563) / 1
LCM(556,563) = 313028 / 1
LCM(556,563) = 313028

Properties of LCM 556 and 563

(i) The LCM of 563 and 556 is associative

LCM of 556 and 563 = LCM of 563 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 563

Frequently Asked Questions on LCM of 556 and 563

1. What is the LCM of 556 and 563?

Answer: LCM of 556 and 563 is 313028.

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 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

4. How to Find the LCM of 556 and 563?

Answer:

Least Common Multiple of 556 and 563 = 313028

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 563

563 = 563

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

LCM = 313028 = 2 x 2 x 139 x 563

Step 4: Therefore, the least common multiple of 556 and 563 is 313028.