LCM of 189 and 197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 189 and 197 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 37233 as output. Here you can check the answer for Find the LCM of 189 and 197.
What is LCM of 189 and 197
Given Numbers are 189, 197
We can find the LCM of 189, 197 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 189 and 197
Multiples of 189 =189,378,567,756,945,1134,1323,1512,1701,1890,2079,2268,2457,2646,2835,3024,3213,
Multiples of 197 =197,394,591,788,985,1182,1379,1576,1773,1970,2167,2364,2561,2758,2955,3152,3349,
Now, get the least common multiple of 189, 197 which is 37233
So, the LCM of 189, 197 is 37233.
Least Common Multiple (LCM) of 189 and 197 with the help of Prime Factorisation
One method for determining the LCM of 189 and 197 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 189's prime factorization:
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 189 are 3,7.
189 = 33×71
And this is 197's prime factorization:
| 197 | 197 |
| 1 |
Prime factors of 197 are 197.
197 = 1971
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: 3,7,197
.33×71×1971 = 37233
This shows that the LCM of 189 and 197 is 37233.
How to Calculate the LCM of 189 and 197 Using Common Multiples
The first step in determining the Least Common Multiple of 189 and 197 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 189 and 197:
Lets look at the first ten multiples of these numbers, 189 and 197:
189,378,567,756,945,1134,1323,1512,1701,3213 are the first ten multiples of 189.
197,394,591,788,985,1182,1379,1576,1773,3349 are the first ten multiples of 197.
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 189 and 197, for example, are 2268, 3213, and 3152. 37233 is the least common multiple since it is the smallest.
189 and 197 have an LCM of 37233.
Least Common Multiple of 189 and 197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 189 and 197, than apply into the LCM equation.
GCF(189,197) = 1
LCM(189,197) = ( 189 × 197) / 1
LCM(189,197) = 37233 / 1
LCM(189,197) = 37233
Related Least Common Multiples of 189
Related Least Common Multiples of 197
Frequently Asked Questions on LCM of 189 and 197
1. What is the LCM of 189 and 197?
The LCM of 189 and 197 is 37233.
2. How to find the lowest common multiple of 189 and 197?
To find the lowest common multiple of 189 and 197, we have to get the multip;es of both numbers and identify the least common multiple in them which is 37233.
3. What are the Factors of 189?
Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.
4. What are the Factors of 197?
Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.
5. How to Find the LCM of 189 and 197?Answer:
Least Common Multiple of 189 and 197 = 37233
Step 1: Find the prime factorization of 189
189 = 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 197
197 = 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37233 = 3 x 3 x 3 x 7 x 197
Step 4: Therefore, the least common multiple of 189 and 197 is 37233.