LCM of 365 and 369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 365 and 369 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 134685 as output. Here you can check the answer for Find the LCM of 365 and 369.
What is LCM of 365 and 369
Given Numbers are 365, 369
We can find the LCM of 365, 369 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 365 and 369
Multiples of 365 =365,730,1095,1460,1825,2190,2555,2920,3285,3650,4015,4380,4745,5110,5475,5840,6205,
Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,
Now, get the least common multiple of 365, 369 which is 134685
So, the LCM of 365, 369 is 134685.
Least Common Multiple (LCM) of 365 and 369 with the help of Prime Factorisation
One method for determining the LCM of 365 and 369 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 365's prime factorization:
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 365 are 5,73.
365 = 51×731
And this is 369's prime factorization:
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 369 are 3,41.
369 = 32×411
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: 5,73, 3,41
.32×51×411×731 = 134685
This shows that the LCM of 365 and 369 is 134685.
How to Calculate the LCM of 365 and 369 Using Common Multiples
The first step in determining the Least Common Multiple of 365 and 369 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 365 and 369:
Lets look at the first ten multiples of these numbers, 365 and 369:
365,730,1095,1460,1825,2190,2555,2920,3285,6205 are the first ten multiples of 365.
369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.
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 365 and 369, for example, are 4380, 6205, and 5904. 134685 is the least common multiple since it is the smallest.
365 and 369 have an LCM of 134685.
Least Common Multiple of 365 and 369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 369, than apply into the LCM equation.
GCF(365,369) = 1
LCM(365,369) = ( 365 × 369) / 1
LCM(365,369) = 134685 / 1
LCM(365,369) = 134685
Related Least Common Multiples of 365
Related Least Common Multiples of 369
Frequently Asked Questions on LCM of 365 and 369
1. What is the LCM of 365 and 369?
The LCM of 365 and 369 is 134685.
2. How to find the lowest common multiple of 365 and 369?
To find the lowest common multiple of 365 and 369, we have to get the multip;es of both numbers and identify the least common multiple in them which is 134685.
3. What are the Factors of 365?
Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.
4. What are the Factors of 369?
Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.
5. How to Find the LCM of 365 and 369?Answer:
Least Common Multiple of 365 and 369 = 134685
Step 1: Find the prime factorization of 365
365 = 5 x 73
Step 2: Find the prime factorization of 369
369 = 3 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 134685 = 3 x 3 x 5 x 41 x 73
Step 4: Therefore, the least common multiple of 365 and 369 is 134685.