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LCM of 1964, 8306

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 1964, 8306 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 1964, 8306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1964,8306

Given numbers are 1964,8306

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

The LCM of 1964,8306 is 8156492.

Find LCM of 1964,8306 with Prime Factorization


2 1964, 8306
982, 4153

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

2 x 982 x 4153 = 8156492

Therefore, the lowest common multiple of 1964,8306 is 8156492.

LCM Formula to Find Lowest Common Multiple of 1964,8306

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.

1964 x 8306 = 16312984

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.

1964 : 1, 2, 4, 491, 982, 1964

8306 : 1, 2, 4153, 8306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1964,8306, is 2.

Now, the common factors can be found like this.

1964:2x 2x 491

8306:2x 4153

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 = 16312984/(2x1)

LCM = 16312984/2

LCM = 8156492

Thus, we can understand that the LCM of 1964,8306 is 8156492.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1964, 8306

1. What is the LCM of 1964, 8306?

Answer: LCM of 1964, 8306 is 8156492.

2. How to calculate the LCM of 1964, 8306?

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 1964, 8306.

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}.