Given Numbers are 25, 31

We can find the LCM of 25, 31 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 25 and 31

Multiples of 25 =25,50,75,100,125,150,175,200,225,250,275,300,325,350,375,400,425,

Multiples of 31 =31,62,93,124,155,186,217,248,279,310,341,372,403,434,465,496,527,

Now, get the least common multiple of 25, 31 which is 775

So, the LCM of 25, 31 is 775.

One method for determining the LCM of 25 and 31 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 25's prime factorization:

Prime factors of 25 are 5.

25 = 5²

And this is 31's prime factorization:

Prime factors of 31 are 31.

31 = 31¹

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:5,31

5²×31¹ = 775

This shows that the LCM of 25 and 31 is 775.

The first step in determining the Least Common Multiple of 25 and 31 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 25 and 31:

Lets look at the first ten multiples of these numbers, 25 and 31:

25,50,75,100,125,150,175,200,225,425 are the first ten multiples of 25.

31,62,93,124,155,186,217,248,279,527 are the first ten multiples of 31.

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 25 and 31, for example, are 300, 425, and 496. 775 is the least common multiple since it is the smallest.

25 and 31 have an LCM of 775.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25 and 31, than apply into the LCM equation.

GCF(25,31) = 1
LCM(25,31) = ( 25 × 31) / 1
LCM(25,31) = 775 / 1
LCM(25,31) = 775

1. What is the LCM of 25 and 31?

The LCM of 25 and 31 is 775.

2. How to find the lowest common multiple of 25 and 31?

To find the lowest common multiple of 25 and 31, we have to get the multip;es of both numbers and identify the least common multiple in them which is 775.

3. What are the Factors of 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

4. What are the Factors of 31?

Answer: Factors of 31 are 1, 31. There are 2 integers that are factors of 31. The greatest factor of 31 is 31.

Answer:

Least Common Multiple of 25 and 31 = 775

Step 1: Find the prime factorization of 25

25 = 5 x 5

Step 2: Find the prime factorization of 31

31 = 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 775 = 5 x 5 x 31

Step 4: Therefore, the least common multiple of 25 and 31 is 775.