Least Common Multiple of 5600 and 5606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5600 and 5606 the smallest integer that is 15696800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5600 and 5606 is 15696800.

LCM(5600,5606) = 15696800

LCM of 5600 and 5606

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

LCM of:
and

Least Common Multiple of 5600 and 5606

LCM of 5600 and 5606 is 15696800

Least common multiple can be found by multiplying the highest exponent prime factors of 5600 and 5606. First we will calculate the prime factors of 5600 and 5606.

Prime Factorization of 5600


2 5600
2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 5600 are 2, 5,7. Prime factorization of 5600 in exponential form is:

5600 = 25×52×71

Prime Factorization of 5606


2 5606
2803 2803
1

Prime factors of 5606 are 2,2803. Prime factorization of 5606 in exponential form is:

5606 = 21×28031

Now multiplying the highest exponent prime factors to calculate the LCM of 5600 and 5606.

LCM(5600,5606) = 25×52×71×28031
LCM(5600,5606) = 15696800

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600

Factors of 5606

List of positive integer factors of 5606 that divides 5606 without a remainder.

1, 2, 2803, 5606

Least Common Multiple of 5600 and 5606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5600 and 5606, than apply into the LCM equation.

GCF(5600,5606) = 2
LCM(5600,5606) = ( 5600 × 5606) / 2
LCM(5600,5606) = 31393600 / 2
LCM(5600,5606) = 15696800

Properties of LCM 5600 and 5606

(i) The LCM of 5606 and 5600 is associative

LCM of 5600 and 5606 = LCM of 5606 and 5600

Related Least Common Multiples of 5600

Related Least Common Multiples of 5606

Frequently Asked Questions on LCM of 5600 and 5606

1. What is the LCM of 5600 and 5606?

Answer: LCM of 5600 and 5606 is 15696800.

2. What are the Factors of 5600?

Answer: Factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600. There are 36 integers that are factors of 5600. The greatest factor of 5600 is 5600.

3. What are the Factors of 5606?

Answer: Factors of 5606 are 1, 2, 2803, 5606. There are 4 integers that are factors of 5606. The greatest factor of 5606 is 5606.

4. How to Find the LCM of 5600 and 5606?

Answer:

Least Common Multiple of 5600 and 5606 = 15696800

Step 1: Find the prime factorization of 5600

5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 5606

5606 = 2 x 2803

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

LCM = 15696800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 2803

Step 4: Therefore, the least common multiple of 5600 and 5606 is 15696800.