LCM of 4318, 4572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4318, 4572 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 4318, 4572. So, keep reading to learn more.
Given numbers are 4318,4572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4318,4572 is 77724.
Find LCM of 4318,4572 with Prime Factorization
| 2 | 4318, 4572 |
| 127 | 2159, 2286 |
| 17, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 17 x 18 = 77724
Therefore, the lowest common multiple of 4318,4572 is 77724.
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.
4318 x 4572 = 19741896
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.
4318 : 1, 2, 17, 34, 127, 254, 2159, 4318
4572 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572
254 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4318,4572, is 254.
Now, the common factors can be found like this.
4318:2x 17x 127
4572:2x 2x 3x 3x 127
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 = 19741896/(254x1)
LCM = 19741896/254
LCM = 77724
Thus, we can understand that the LCM of 4318,4572 is 77724.
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FAQs on LCM of 4318, 4572
1. What is the LCM of 4318, 4572?
Answer: LCM of 4318, 4572 is 77724.
2. How to calculate the LCM of 4318, 4572?
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 4318, 4572.
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}.