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LCM of 3729, 6252

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


Find the LCM of 3729, 6252 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 3729, 6252. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3729,6252

Given numbers are 3729,6252

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

The LCM of 3729,6252 is 7771236.

Find LCM of 3729,6252 with Prime Factorization


3 3729, 6252
1243, 2084

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

3 x 1243 x 2084 = 7771236

Therefore, the lowest common multiple of 3729,6252 is 7771236.

LCM Formula to Find Lowest Common Multiple of 3729,6252

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.

3729 x 6252 = 23313708

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.

3729 : 1, 3, 11, 33, 113, 339, 1243, 3729

6252 : 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3729,6252, is 3.

Now, the common factors can be found like this.

3729:3x 11x 113

6252:2x 2x 3x 521

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 = 23313708/(3x1)

LCM = 23313708/3

LCM = 7771236

Thus, we can understand that the LCM of 3729,6252 is 7771236.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3729, 6252

1. What is the LCM of 3729, 6252?

Answer: LCM of 3729, 6252 is 7771236.

2. How to calculate the LCM of 3729, 6252?

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 3729, 6252.

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}.