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LCM of 752, 2209

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


Find the LCM of 752, 2209 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 752, 2209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,2209

Given numbers are 752,2209

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

The LCM of 752,2209 is 35344.

Find LCM of 752,2209 with Prime Factorization


47 752, 2209
16, 47

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

47 x 16 x 47 = 35344

Therefore, the lowest common multiple of 752,2209 is 35344.

LCM Formula to Find Lowest Common Multiple of 752,2209

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.

752 x 2209 = 1661168

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

2209 : 1, 47, 2209

47 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,2209, is 47.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

2209:47x 47

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 = 1661168/(47x1)

LCM = 1661168/47

LCM = 35344

Thus, we can understand that the LCM of 752,2209 is 35344.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 752, 2209

1. What is the LCM of 752, 2209?

Answer: LCM of 752, 2209 is 35344.

2. How to calculate the LCM of 752, 2209?

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 752, 2209.

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}.