LCM of 362 and 366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 362 and 366 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 66246 as output. Here you can check the answer for Find the LCM of 362 and 366.
What is LCM of 362 and 366
Given Numbers are 362, 366
We can find the LCM of 362, 366 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 362 and 366
Multiples of 362 =362,724,1086,1448,1810,2172,2534,2896,3258,3620,3982,4344,4706,5068,5430,5792,6154,
Multiples of 366 =366,732,1098,1464,1830,2196,2562,2928,3294,3660,4026,4392,4758,5124,5490,5856,6222,
Now, get the least common multiple of 362, 366 which is 66246
So, the LCM of 362, 366 is 66246.
Least Common Multiple (LCM) of 362 and 366 with the help of Prime Factorisation
One method for determining the LCM of 362 and 366 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 362's prime factorization:
| 2 | 362 |
| 181 | 181 |
| 1 |
Prime factors of 362 are 2,181.
362 = 21×1811
And this is 366's prime factorization:
| 2 | 366 |
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 366 are 2, 3,61.
366 = 21×31×611
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: 2,181, 3,61
.21×31×611×1811 = 66246
This shows that the LCM of 362 and 366 is 66246.
How to Calculate the LCM of 362 and 366 Using Common Multiples
The first step in determining the Least Common Multiple of 362 and 366 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 362 and 366:
Lets look at the first ten multiples of these numbers, 362 and 366:
362,724,1086,1448,1810,2172,2534,2896,3258,6154 are the first ten multiples of 362.
366,732,1098,1464,1830,2196,2562,2928,3294,6222 are the first ten multiples of 366.
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 362 and 366, for example, are 4344, 6154, and 5856. 66246 is the least common multiple since it is the smallest.
362 and 366 have an LCM of 66246.
Least Common Multiple of 362 and 366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 366, than apply into the LCM equation.
GCF(362,366) = 2
LCM(362,366) = ( 362 × 366) / 2
LCM(362,366) = 132492 / 2
LCM(362,366) = 66246
Related Least Common Multiples of 362
Related Least Common Multiples of 366
Frequently Asked Questions on LCM of 362 and 366
1. What is the LCM of 362 and 366?
The LCM of 362 and 366 is 66246.
2. How to find the lowest common multiple of 362 and 366?
To find the lowest common multiple of 362 and 366, we have to get the multip;es of both numbers and identify the least common multiple in them which is 66246.
3. What are the Factors of 362?
Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.
4. What are the Factors of 366?
Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.
5. How to Find the LCM of 362 and 366?Answer:
Least Common Multiple of 362 and 366 = 66246
Step 1: Find the prime factorization of 362
362 = 2 x 181
Step 2: Find the prime factorization of 366
366 = 2 x 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 = 66246 = 2 x 3 x 61 x 181
Step 4: Therefore, the least common multiple of 362 and 366 is 66246.