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LCM of 6969, 6633

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


Find the LCM of 6969, 6633 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 6969, 6633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6969,6633

Given numbers are 6969,6633

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

The LCM of 6969,6633 is 15408459.

Find LCM of 6969,6633 with Prime Factorization


3 6969, 6633
2323, 2211

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

3 x 2323 x 2211 = 15408459

Therefore, the lowest common multiple of 6969,6633 is 15408459.

LCM Formula to Find Lowest Common Multiple of 6969,6633

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.

6969 x 6633 = 46225377

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.

6969 : 1, 3, 23, 69, 101, 303, 2323, 6969

6633 : 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6969,6633, is 3.

Now, the common factors can be found like this.

6969:3x 23x 101

6633:3x 3x 11x 67

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 = 46225377/(3x1)

LCM = 46225377/3

LCM = 15408459

Thus, we can understand that the LCM of 6969,6633 is 15408459.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6969, 6633

1. What is the LCM of 6969, 6633?

Answer: LCM of 6969, 6633 is 15408459.

2. How to calculate the LCM of 6969, 6633?

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 6969, 6633.

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}.