Given numbers are 1472,2014

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 1472,2014 is 1482304.

Find LCM of 1472,2014 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 736 x 1007 = 1482304

Therefore, the lowest common multiple of 1472,2014 is 1482304.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

1472 x 2014 = 2964608

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

1472 : 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

2014 : 1, 2, 19, 38, 53, 106, 1007, 2014

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1472,2014, is 2.

Now, the common factors can be found like this.

1472:2x 2x 2x 2x 2x 2x 23

2014:2x 19x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2964608/(2x1)

LCM = 2964608/2

LCM = 1482304

Thus, we can understand that the LCM of 1472,2014 is 1482304.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 3157, 8806
• LCM of 4304, 2439
• LCM of 6335, 9580
• LCM of 2794, 6921
• LCM of 2773, 9709

1. What is the LCM of 1472, 2014?

Answer: LCM of 1472, 2014 is 1482304.

2. How to calculate the LCM of 1472, 2014?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 1472, 2014.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.