LCM of 39 and 46
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 39 and 46 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1794 as output. Here you can check the answer for Find the LCM of 39 and 46.
What is LCM of 39 and 46
Given Numbers are 39, 46
We can find the LCM of 39, 46 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 39 and 46
Multiples of 39 =39,78,117,156,195,234,273,312,351,390,429,468,507,546,585,624,663,
Multiples of 46 =46,92,138,184,230,276,322,368,414,460,506,552,598,644,690,736,782,
Now, get the least common multiple of 39, 46 which is 1794
So, the LCM of 39, 46 is 1794.
Least Common Multiple (LCM) of 39 and 46 with the help of Prime Factorisation
One method for determining the LCM of 39 and 46 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 39's prime factorization:
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 39 are 3,13.
39 = 31×131
And this is 46's prime factorization:
| 2 | 46 |
| 23 | 23 |
| 1 |
Prime factors of 46 are 2,23.
46 = 21×231
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: 3,13, 2,23
.21×31×131×231 = 1794
This shows that the LCM of 39 and 46 is 1794.
How to Calculate the LCM of 39 and 46 Using Common Multiples
The first step in determining the Least Common Multiple of 39 and 46 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 39 and 46:
Lets look at the first ten multiples of these numbers, 39 and 46:
39,78,117,156,195,234,273,312,351,663 are the first ten multiples of 39.
46,92,138,184,230,276,322,368,414,782 are the first ten multiples of 46.
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 39 and 46, for example, are 468, 663, and 736. 1794 is the least common multiple since it is the smallest.
39 and 46 have an LCM of 1794.
Least Common Multiple of 39 and 46 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39 and 46, than apply into the LCM equation.
GCF(39,46) = 1
LCM(39,46) = ( 39 × 46) / 1
LCM(39,46) = 1794 / 1
LCM(39,46) = 1794
Related Least Common Multiples of 39
Related Least Common Multiples of 46
Frequently Asked Questions on LCM of 39 and 46
1. What is the LCM of 39 and 46?
The LCM of 39 and 46 is 1794.
2. How to find the lowest common multiple of 39 and 46?
To find the lowest common multiple of 39 and 46, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1794.
3. What are the Factors of 39?
Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.
4. What are the Factors of 46?
Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.
5. How to Find the LCM of 39 and 46?Answer:
Least Common Multiple of 39 and 46 = 1794
Step 1: Find the prime factorization of 39
39 = 3 x 13
Step 2: Find the prime factorization of 46
46 = 2 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1794 = 2 x 3 x 13 x 23
Step 4: Therefore, the least common multiple of 39 and 46 is 1794.