LCM of 178 and 183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 178 and 183 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 32574 as output. Here you can check the answer for Find the LCM of 178 and 183.
What is LCM of 178 and 183
Given Numbers are 178, 183
We can find the LCM of 178, 183 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 178 and 183
Multiples of 178 =178,356,534,712,890,1068,1246,1424,1602,1780,1958,2136,2314,2492,2670,2848,3026,
Multiples of 183 =183,366,549,732,915,1098,1281,1464,1647,1830,2013,2196,2379,2562,2745,2928,3111,
Now, get the least common multiple of 178, 183 which is 32574
So, the LCM of 178, 183 is 32574.
Least Common Multiple (LCM) of 178 and 183 with the help of Prime Factorisation
One method for determining the LCM of 178 and 183 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 178's prime factorization:
| 2 | 178 |
| 89 | 89 |
| 1 |
Prime factors of 178 are 2,89.
178 = 21×891
And this is 183's prime factorization:
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 183 are 3,61.
183 = 31×611
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: 2,89, 3,61
.21×31×611×891 = 32574
This shows that the LCM of 178 and 183 is 32574.
How to Calculate the LCM of 178 and 183 Using Common Multiples
The first step in determining the Least Common Multiple of 178 and 183 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 178 and 183:
Lets look at the first ten multiples of these numbers, 178 and 183:
178,356,534,712,890,1068,1246,1424,1602,3026 are the first ten multiples of 178.
183,366,549,732,915,1098,1281,1464,1647,3111 are the first ten multiples of 183.
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 178 and 183, for example, are 2136, 3026, and 2928. 32574 is the least common multiple since it is the smallest.
178 and 183 have an LCM of 32574.
Least Common Multiple of 178 and 183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 178 and 183, than apply into the LCM equation.
GCF(178,183) = 1
LCM(178,183) = ( 178 × 183) / 1
LCM(178,183) = 32574 / 1
LCM(178,183) = 32574
Related Least Common Multiples of 178
Related Least Common Multiples of 183
Frequently Asked Questions on LCM of 178 and 183
1. What is the LCM of 178 and 183?
The LCM of 178 and 183 is 32574.
2. How to find the lowest common multiple of 178 and 183?
To find the lowest common multiple of 178 and 183, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32574.
3. What are the Factors of 178?
Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.
4. 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.
5. How to Find the LCM of 178 and 183?Answer:
Least Common Multiple of 178 and 183 = 32574
Step 1: Find the prime factorization of 178
178 = 2 x 89
Step 2: Find the prime factorization of 183
183 = 3 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32574 = 2 x 3 x 61 x 89
Step 4: Therefore, the least common multiple of 178 and 183 is 32574.