LCM of 207 and 215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 207 and 215 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 44505 as output. Here you can check the answer for Find the LCM of 207 and 215.
What is LCM of 207 and 215
Given Numbers are 207, 215
We can find the LCM of 207, 215 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 207 and 215
Multiples of 207 =207,414,621,828,1035,1242,1449,1656,1863,2070,2277,2484,2691,2898,3105,3312,3519,
Multiples of 215 =215,430,645,860,1075,1290,1505,1720,1935,2150,2365,2580,2795,3010,3225,3440,3655,
Now, get the least common multiple of 207, 215 which is 44505
So, the LCM of 207, 215 is 44505.
Least Common Multiple (LCM) of 207 and 215 with the help of Prime Factorisation
One method for determining the LCM of 207 and 215 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 207's prime factorization:
| 3 | 207 |
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 207 are 3,23.
207 = 32×231
And this is 215's prime factorization:
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 215 are 5,43.
215 = 51×431
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 3,23, 5,43
.32×51×231×431 = 44505
This shows that the LCM of 207 and 215 is 44505.
How to Calculate the LCM of 207 and 215 Using Common Multiples
The first step in determining the Least Common Multiple of 207 and 215 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 207 and 215:
Lets look at the first ten multiples of these numbers, 207 and 215:
207,414,621,828,1035,1242,1449,1656,1863,3519 are the first ten multiples of 207.
215,430,645,860,1075,1290,1505,1720,1935,3655 are the first ten multiples of 215.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 207 and 215, for example, are 2484, 3519, and 3440. 44505 is the least common multiple since it is the smallest.
207 and 215 have an LCM of 44505.
Least Common Multiple of 207 and 215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 207 and 215, than apply into the LCM equation.
GCF(207,215) = 1
LCM(207,215) = ( 207 × 215) / 1
LCM(207,215) = 44505 / 1
LCM(207,215) = 44505
Related Least Common Multiples of 207
Related Least Common Multiples of 215
Frequently Asked Questions on LCM of 207 and 215
1. What is the LCM of 207 and 215?
The LCM of 207 and 215 is 44505.
2. How to find the lowest common multiple of 207 and 215?
To find the lowest common multiple of 207 and 215, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44505.
3. What are the Factors of 207?
Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.
4. What are the Factors of 215?
Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.
5. How to Find the LCM of 207 and 215?Answer:
Least Common Multiple of 207 and 215 = 44505
Step 1: Find the prime factorization of 207
207 = 3 x 3 x 23
Step 2: Find the prime factorization of 215
215 = 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44505 = 3 x 3 x 5 x 23 x 43
Step 4: Therefore, the least common multiple of 207 and 215 is 44505.