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LCM of 5403, 7002

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


Find the LCM of 5403, 7002 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 5403, 7002. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5403,7002

Given numbers are 5403,7002

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

The LCM of 5403,7002 is 12610602.

Find LCM of 5403,7002 with Prime Factorization


3 5403, 7002
1801, 2334

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

3 x 1801 x 2334 = 12610602

Therefore, the lowest common multiple of 5403,7002 is 12610602.

LCM Formula to Find Lowest Common Multiple of 5403,7002

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.

5403 x 7002 = 37831806

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.

5403 : 1, 3, 1801, 5403

7002 : 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5403,7002, is 3.

Now, the common factors can be found like this.

5403:3x 1801

7002:2x 3x 3x 389

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 = 37831806/(3x1)

LCM = 37831806/3

LCM = 12610602

Thus, we can understand that the LCM of 5403,7002 is 12610602.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5403, 7002

1. What is the LCM of 5403, 7002?

Answer: LCM of 5403, 7002 is 12610602.

2. How to calculate the LCM of 5403, 7002?

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 5403, 7002.

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}.