LCM of 207 and 211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 207 and 211 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 43677 as output. Here you can check the answer for Find the LCM of 207 and 211.
What is LCM of 207 and 211
Given Numbers are 207, 211
We can find the LCM of 207, 211 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 207 and 211
Multiples of 207 =207,414,621,828,1035,1242,1449,1656,1863,2070,2277,2484,2691,2898,3105,3312,3519,
Multiples of 211 =211,422,633,844,1055,1266,1477,1688,1899,2110,2321,2532,2743,2954,3165,3376,3587,
Now, get the least common multiple of 207, 211 which is 43677
So, the LCM of 207, 211 is 43677.
Least Common Multiple (LCM) of 207 and 211 with the help of Prime Factorisation
One method for determining the LCM of 207 and 211 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 211's prime factorization:
| 211 | 211 |
| 1 |
Prime factors of 211 are 211.
211 = 2111
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: 3,23,211
.32×231×2111 = 43677
This shows that the LCM of 207 and 211 is 43677.
How to Calculate the LCM of 207 and 211 Using Common Multiples
The first step in determining the Least Common Multiple of 207 and 211 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 207 and 211:
Lets look at the first ten multiples of these numbers, 207 and 211:
207,414,621,828,1035,1242,1449,1656,1863,3519 are the first ten multiples of 207.
211,422,633,844,1055,1266,1477,1688,1899,3587 are the first ten multiples of 211.
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 211, for example, are 2484, 3519, and 3376. 43677 is the least common multiple since it is the smallest.
207 and 211 have an LCM of 43677.
Least Common Multiple of 207 and 211 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 211, than apply into the LCM equation.
GCF(207,211) = 1
LCM(207,211) = ( 207 × 211) / 1
LCM(207,211) = 43677 / 1
LCM(207,211) = 43677
Related Least Common Multiples of 207
Related Least Common Multiples of 211
Frequently Asked Questions on LCM of 207 and 211
1. What is the LCM of 207 and 211?
The LCM of 207 and 211 is 43677.
2. How to find the lowest common multiple of 207 and 211?
To find the lowest common multiple of 207 and 211, we have to get the multip;es of both numbers and identify the least common multiple in them which is 43677.
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 211?
Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.
5. How to Find the LCM of 207 and 211?Answer:
Least Common Multiple of 207 and 211 = 43677
Step 1: Find the prime factorization of 207
207 = 3 x 3 x 23
Step 2: Find the prime factorization of 211
211 = 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43677 = 3 x 3 x 23 x 211
Step 4: Therefore, the least common multiple of 207 and 211 is 43677.