LCM of 9372, 5652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9372, 5652 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 9372, 5652. So, keep reading to learn more.
Given numbers are 9372,5652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9372,5652 is 4414212.
Find LCM of 9372,5652 with Prime Factorization
| 2 | 9372, 5652 |
| 2 | 4686, 2826 |
| 3 | 2343, 1413 |
| 781, 471 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 781 x 471 = 4414212
Therefore, the lowest common multiple of 9372,5652 is 4414212.
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.
9372 x 5652 = 52970544
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.
9372 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
5652 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9372,5652, is 12.
Now, the common factors can be found like this.
9372:2x 2x 3x 11x 71
5652:2x 2x 3x 3x 157
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 = 52970544/(12x1)
LCM = 52970544/12
LCM = 4414212
Thus, we can understand that the LCM of 9372,5652 is 4414212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9372, 5652
1. What is the LCM of 9372, 5652?
Answer: LCM of 9372, 5652 is 4414212.
2. How to calculate the LCM of 9372, 5652?
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 9372, 5652.
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}.