LCM of 183 and 189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 183 and 189 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 11529 as output. Here you can check the answer for Find the LCM of 183 and 189.
What is LCM of 183 and 189
Given Numbers are 183, 189
We can find the LCM of 183, 189 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 183 and 189
Multiples of 183 =183,366,549,732,915,1098,1281,1464,1647,1830,2013,2196,2379,2562,2745,2928,3111,
Multiples of 189 =189,378,567,756,945,1134,1323,1512,1701,1890,2079,2268,2457,2646,2835,3024,3213,
Now, get the least common multiple of 183, 189 which is 11529
So, the LCM of 183, 189 is 11529.
Least Common Multiple (LCM) of 183 and 189 with the help of Prime Factorisation
One method for determining the LCM of 183 and 189 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 183's prime factorization:
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 183 are 3,61.
183 = 31×611
And this is 189's prime factorization:
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 189 are 3,7.
189 = 33×71
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: 3,61,7
.33×71×611 = 11529
This shows that the LCM of 183 and 189 is 11529.
How to Calculate the LCM of 183 and 189 Using Common Multiples
The first step in determining the Least Common Multiple of 183 and 189 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 183 and 189:
Lets look at the first ten multiples of these numbers, 183 and 189:
183,366,549,732,915,1098,1281,1464,1647,3111 are the first ten multiples of 183.
189,378,567,756,945,1134,1323,1512,1701,3213 are the first ten multiples of 189.
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 183 and 189, for example, are 2196, 3111, and 3024. 11529 is the least common multiple since it is the smallest.
183 and 189 have an LCM of 11529.
Least Common Multiple of 183 and 189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 183 and 189, than apply into the LCM equation.
GCF(183,189) = 3
LCM(183,189) = ( 183 × 189) / 3
LCM(183,189) = 34587 / 3
LCM(183,189) = 11529
Related Least Common Multiples of 183
Related Least Common Multiples of 189
Frequently Asked Questions on LCM of 183 and 189
1. What is the LCM of 183 and 189?
The LCM of 183 and 189 is 11529.
2. How to find the lowest common multiple of 183 and 189?
To find the lowest common multiple of 183 and 189, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11529.
3. What are the Factors of 183?
Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.
4. 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.
5. How to Find the LCM of 183 and 189?Answer:
Least Common Multiple of 183 and 189 = 11529
Step 1: Find the prime factorization of 183
183 = 3 x 61
Step 2: Find the prime factorization of 189
189 = 3 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11529 = 3 x 3 x 3 x 7 x 61
Step 4: Therefore, the least common multiple of 183 and 189 is 11529.