Given numbers are 5396,5614

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

The LCM of 5396,5614 is 15146572.

Find LCM of 5396,5614 with Prime Factorization

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

2 x 2698 x 2807 = 15146572

Therefore, the lowest common multiple of 5396,5614 is 15146572.

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.

5396 x 5614 = 30293144

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.

5396 : 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

5614 : 1, 2, 7, 14, 401, 802, 2807, 5614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5396,5614, is 2.

Now, the common factors can be found like this.

5396:2x 2x 19x 71

5614:2x 7x 401

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 = 30293144/(2x1)

LCM = 30293144/2

LCM = 15146572

Thus, we can understand that the LCM of 5396,5614 is 15146572.

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

• LCM of 9507, 5016
• LCM of 2748, 3912
• LCM of 3305, 3900
• LCM of 1999, 2993
• LCM of 5452, 4712

1. What is the LCM of 5396, 5614?

Answer: LCM of 5396, 5614 is 15146572.

2. How to calculate the LCM of 5396, 5614?

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 5396, 5614.

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}.