LCM of 206 and 212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 206 and 212 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 21836 as output. Here you can check the answer for Find the LCM of 206 and 212.
What is LCM of 206 and 212
Given Numbers are 206, 212
We can find the LCM of 206, 212 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 206 and 212
Multiples of 206 =206,412,618,824,1030,1236,1442,1648,1854,2060,2266,2472,2678,2884,3090,3296,3502,
Multiples of 212 =212,424,636,848,1060,1272,1484,1696,1908,2120,2332,2544,2756,2968,3180,3392,3604,
Now, get the least common multiple of 206, 212 which is 21836
So, the LCM of 206, 212 is 21836.
Least Common Multiple (LCM) of 206 and 212 with the help of Prime Factorisation
One method for determining the LCM of 206 and 212 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 206's prime factorization:
| 2 | 206 |
| 103 | 103 |
| 1 |
Prime factors of 206 are 2,103.
206 = 21×1031
And this is 212's prime factorization:
| 2 | 212 |
| 2 | 106 |
| 53 | 53 |
| 1 |
Prime factors of 212 are 2,53.
212 = 22×531
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: 2,103,53
.22×531×1031 = 21836
This shows that the LCM of 206 and 212 is 21836.
How to Calculate the LCM of 206 and 212 Using Common Multiples
The first step in determining the Least Common Multiple of 206 and 212 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 206 and 212:
Lets look at the first ten multiples of these numbers, 206 and 212:
206,412,618,824,1030,1236,1442,1648,1854,3502 are the first ten multiples of 206.
212,424,636,848,1060,1272,1484,1696,1908,3604 are the first ten multiples of 212.
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 206 and 212, for example, are 2472, 3502, and 3392. 21836 is the least common multiple since it is the smallest.
206 and 212 have an LCM of 21836.
Least Common Multiple of 206 and 212 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 206 and 212, than apply into the LCM equation.
GCF(206,212) = 2
LCM(206,212) = ( 206 × 212) / 2
LCM(206,212) = 43672 / 2
LCM(206,212) = 21836
Related Least Common Multiples of 206
Related Least Common Multiples of 212
Frequently Asked Questions on LCM of 206 and 212
1. What is the LCM of 206 and 212?
The LCM of 206 and 212 is 21836.
2. How to find the lowest common multiple of 206 and 212?
To find the lowest common multiple of 206 and 212, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21836.
3. What are the Factors of 206?
Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.
4. What are the Factors of 212?
Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.
5. How to Find the LCM of 206 and 212?Answer:
Least Common Multiple of 206 and 212 = 21836
Step 1: Find the prime factorization of 206
206 = 2 x 103
Step 2: Find the prime factorization of 212
212 = 2 x 2 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21836 = 2 x 2 x 53 x 103
Step 4: Therefore, the least common multiple of 206 and 212 is 21836.