LCM of 189 and 193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 189 and 193 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 36477 as output. Here you can check the answer for Find the LCM of 189 and 193.
What is LCM of 189 and 193
Given Numbers are 189, 193
We can find the LCM of 189, 193 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 189 and 193
Multiples of 189 =189,378,567,756,945,1134,1323,1512,1701,1890,2079,2268,2457,2646,2835,3024,3213,
Multiples of 193 =193,386,579,772,965,1158,1351,1544,1737,1930,2123,2316,2509,2702,2895,3088,3281,
Now, get the least common multiple of 189, 193 which is 36477
So, the LCM of 189, 193 is 36477.
Least Common Multiple (LCM) of 189 and 193 with the help of Prime Factorisation
One method for determining the LCM of 189 and 193 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 193's prime factorization:
| 193 | 193 |
| 1 |
Prime factors of 193 are 193.
193 = 1931
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: 3,7,193
.33×71×1931 = 36477
This shows that the LCM of 189 and 193 is 36477.
How to Calculate the LCM of 189 and 193 Using Common Multiples
The first step in determining the Least Common Multiple of 189 and 193 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 189 and 193:
Lets look at the first ten multiples of these numbers, 189 and 193:
189,378,567,756,945,1134,1323,1512,1701,3213 are the first ten multiples of 189.
193,386,579,772,965,1158,1351,1544,1737,3281 are the first ten multiples of 193.
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 193, for example, are 2268, 3213, and 3088. 36477 is the least common multiple since it is the smallest.
189 and 193 have an LCM of 36477.
Least Common Multiple of 189 and 193 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 193, than apply into the LCM equation.
GCF(189,193) = 1
LCM(189,193) = ( 189 × 193) / 1
LCM(189,193) = 36477 / 1
LCM(189,193) = 36477
Related Least Common Multiples of 189
Related Least Common Multiples of 193
Frequently Asked Questions on LCM of 189 and 193
1. What is the LCM of 189 and 193?
The LCM of 189 and 193 is 36477.
2. How to find the lowest common multiple of 189 and 193?
To find the lowest common multiple of 189 and 193, we have to get the multip;es of both numbers and identify the least common multiple in them which is 36477.
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 193?
Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.
5. How to Find the LCM of 189 and 193?Answer:
Least Common Multiple of 189 and 193 = 36477
Step 1: Find the prime factorization of 189
189 = 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 193
193 = 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36477 = 3 x 3 x 3 x 7 x 193
Step 4: Therefore, the least common multiple of 189 and 193 is 36477.