LCM of 89 and 94
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 89 and 94 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8366 as output. Here you can check the answer for Find the LCM of 89 and 94.
What is LCM of 89 and 94
Given Numbers are 89, 94
We can find the LCM of 89, 94 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 89 and 94
Multiples of 89 =89,178,267,356,445,534,623,712,801,890,979,1068,1157,1246,1335,1424,1513,
Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,
Now, get the least common multiple of 89, 94 which is 8366
So, the LCM of 89, 94 is 8366.
Least Common Multiple (LCM) of 89 and 94 with the help of Prime Factorisation
One method for determining the LCM of 89 and 94 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 89's prime factorization:
| 89 | 89 |
| 1 |
Prime factors of 89 are 89.
89 = 891
And this is 94's prime factorization:
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 94 are 2,47.
94 = 21×471
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:89, 2,47
.21×471×891 = 8366
This shows that the LCM of 89 and 94 is 8366.
How to Calculate the LCM of 89 and 94 Using Common Multiples
The first step in determining the Least Common Multiple of 89 and 94 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 89 and 94:
Lets look at the first ten multiples of these numbers, 89 and 94:
89,178,267,356,445,534,623,712,801,1513 are the first ten multiples of 89.
94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.
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 89 and 94, for example, are 1068, 1513, and 1504. 8366 is the least common multiple since it is the smallest.
89 and 94 have an LCM of 8366.
Least Common Multiple of 89 and 94 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 94, than apply into the LCM equation.
GCF(89,94) = 1
LCM(89,94) = ( 89 × 94) / 1
LCM(89,94) = 8366 / 1
LCM(89,94) = 8366
Related Least Common Multiples of 89
Related Least Common Multiples of 94
Frequently Asked Questions on LCM of 89 and 94
1. What is the LCM of 89 and 94?
The LCM of 89 and 94 is 8366.
2. How to find the lowest common multiple of 89 and 94?
To find the lowest common multiple of 89 and 94, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8366.
3. What are the Factors of 89?
Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.
4. What are the Factors of 94?
Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.
5. How to Find the LCM of 89 and 94?Answer:
Least Common Multiple of 89 and 94 = 8366
Step 1: Find the prime factorization of 89
89 = 89
Step 2: Find the prime factorization of 94
94 = 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8366 = 2 x 47 x 89
Step 4: Therefore, the least common multiple of 89 and 94 is 8366.