It is easy to find the LCM of 7045 and 7049 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49660205 as output. Here you can check the answer for Find the LCM of 7045 and 7049.
Given Numbers are 7045, 7049
We can find the LCM of 7045, 7049 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 7045 and 7049
Multiples of 7045 =7045,14090,21135,28180,35225,42270,49315,56360,63405,70450,77495,84540,91585,98630,105675,112720,119765,
Multiples of 7049 =7049,14098,21147,28196,35245,42294,49343,56392,63441,70490,77539,84588,91637,98686,105735,112784,119833,
Now, get the least common multiple of 7045, 7049 which is 49660205
So, the LCM of 7045, 7049 is 49660205.
One method for determining the LCM of 7045 and 7049 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 7045's prime factorization:5 | 7045 |
1409 | 1409 |
1 |
Prime factors of 7045 are 5,1409.
7045 = 51×14091
And this is 7049's prime factorization:
7 | 7049 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 7049 are 7, 19,53.
7049 = 71×191×531
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: 5,1409, 7, 19,53
.51×71×191×531×14091 = 49660205
This shows that the LCM of 7045 and 7049 is 49660205.
The first step in determining the Least Common Multiple of 7045 and 7049 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 7045 and 7049:
Lets look at the first ten multiples of these numbers, 7045 and 7049:
7045,14090,21135,28180,35225,42270,49315,56360,63405,119765 are the first ten multiples of 7045.
7049,14098,21147,28196,35245,42294,49343,56392,63441,119833 are the first ten multiples of 7049.
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 7045 and 7049, for example, are 84540, 119765, and 112784. 49660205 is the least common multiple since it is the smallest.
7045 and 7049 have an LCM of 49660205.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7049, than apply into the LCM equation.
GCF(7045,7049) = 1
LCM(7045,7049) = ( 7045 × 7049) / 1
LCM(7045,7049) = 49660205 / 1
LCM(7045,7049) = 49660205
1. What is the LCM of 7045 and 7049?
The LCM of 7045 and 7049 is 49660205.
2. How to find the lowest common multiple of 7045 and 7049?
To find the lowest common multiple of 7045 and 7049, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49660205.
3. What are the Factors of 7045?
Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.
4. What are the Factors of 7049?
Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.
5. How to Find the LCM of 7045 and 7049?Answer:
Least Common Multiple of 7045 and 7049 = 49660205
Step 1: Find the prime factorization of 7045
7045 = 5 x 1409
Step 2: Find the prime factorization of 7049
7049 = 7 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49660205 = 5 x 7 x 19 x 53 x 1409
Step 4: Therefore, the least common multiple of 7045 and 7049 is 49660205.