Least Common Multiple of 556 and 560

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 560 the smallest integer that is 77840 that is divisible by both numbers.

Least Common Multiple (LCM) of 556 and 560 is 77840.

LCM(556,560) = 77840

LCM of 556 and 560

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

LCM of:
and

Least Common Multiple of 556 and 560

LCM of 556 and 560 is 77840

Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 560. First we will calculate the prime factors of 556 and 560.

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 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2, 5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 560.

LCM(556,560) = 24×51×71×1391
LCM(556,560) = 77840

Factors of 556

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

1, 2, 4, 139, 278, 556

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Least Common Multiple of 556 and 560 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 560, than apply into the LCM equation.

GCF(556,560) = 4
LCM(556,560) = ( 556 × 560) / 4
LCM(556,560) = 311360 / 4
LCM(556,560) = 77840

Properties of LCM 556 and 560

(i) The LCM of 560 and 556 is associative

LCM of 556 and 560 = LCM of 560 and 556

Related Least Common Multiples of 556

Related Least Common Multiples of 560

Frequently Asked Questions on LCM of 556 and 560

1. What is the LCM of 556 and 560?

Answer: LCM of 556 and 560 is 77840.

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 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the LCM of 556 and 560?

Answer:

Least Common Multiple of 556 and 560 = 77840

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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

LCM = 77840 = 2 x 2 x 2 x 2 x 5 x 7 x 139

Step 4: Therefore, the least common multiple of 556 and 560 is 77840.