LCM of 369 and 373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 369 and 373 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 137637 as output. Here you can check the answer for Find the LCM of 369 and 373.
What is LCM of 369 and 373
Given Numbers are 369, 373
We can find the LCM of 369, 373 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 369 and 373
Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,
Multiples of 373 =373,746,1119,1492,1865,2238,2611,2984,3357,3730,4103,4476,4849,5222,5595,5968,6341,
Now, get the least common multiple of 369, 373 which is 137637
So, the LCM of 369, 373 is 137637.
Least Common Multiple (LCM) of 369 and 373 with the help of Prime Factorisation
One method for determining the LCM of 369 and 373 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 369's prime factorization:
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 369 are 3,41.
369 = 32×411
And this is 373's prime factorization:
| 373 | 373 |
| 1 |
Prime factors of 373 are 373.
373 = 3731
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: 3,41,373
.32×411×3731 = 137637
This shows that the LCM of 369 and 373 is 137637.
How to Calculate the LCM of 369 and 373 Using Common Multiples
The first step in determining the Least Common Multiple of 369 and 373 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 369 and 373:
Lets look at the first ten multiples of these numbers, 369 and 373:
369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.
373,746,1119,1492,1865,2238,2611,2984,3357,6341 are the first ten multiples of 373.
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 369 and 373, for example, are 4428, 6273, and 5968. 137637 is the least common multiple since it is the smallest.
369 and 373 have an LCM of 137637.
Least Common Multiple of 369 and 373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 369 and 373, than apply into the LCM equation.
GCF(369,373) = 1
LCM(369,373) = ( 369 × 373) / 1
LCM(369,373) = 137637 / 1
LCM(369,373) = 137637
Related Least Common Multiples of 369
Related Least Common Multiples of 373
Frequently Asked Questions on LCM of 369 and 373
1. What is the LCM of 369 and 373?
The LCM of 369 and 373 is 137637.
2. How to find the lowest common multiple of 369 and 373?
To find the lowest common multiple of 369 and 373, we have to get the multip;es of both numbers and identify the least common multiple in them which is 137637.
3. 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.
4. What are the Factors of 373?
Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.
5. How to Find the LCM of 369 and 373?Answer:
Least Common Multiple of 369 and 373 = 137637
Step 1: Find the prime factorization of 369
369 = 3 x 3 x 41
Step 2: Find the prime factorization of 373
373 = 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 137637 = 3 x 3 x 41 x 373
Step 4: Therefore, the least common multiple of 369 and 373 is 137637.