Given Numbers are 19, 25

We can find the LCM of 19, 25 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 19 and 25

Multiples of 19 =19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,

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

Now, get the least common multiple of 19, 25 which is 475

So, the LCM of 19, 25 is 475.

One method for determining the LCM of 19 and 25 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 19's prime factorization:

Prime factors of 19 are 19.

19 = 19¹

And this is 25's prime factorization:

Prime factors of 25 are 5.

25 = 5²

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:19,5

5²×19¹ = 475

This shows that the LCM of 19 and 25 is 475.

The first step in determining the Least Common Multiple of 19 and 25 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 19 and 25:

Lets look at the first ten multiples of these numbers, 19 and 25:

19,38,57,76,95,114,133,152,171,323 are the first ten multiples of 19.

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

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 19 and 25, for example, are 228, 323, and 400. 475 is the least common multiple since it is the smallest.

19 and 25 have an LCM of 475.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19 and 25, than apply into the LCM equation.

GCF(19,25) = 1
LCM(19,25) = ( 19 × 25) / 1
LCM(19,25) = 475 / 1
LCM(19,25) = 475

1. What is the LCM of 19 and 25?

The LCM of 19 and 25 is 475.

2. How to find the lowest common multiple of 19 and 25?

To find the lowest common multiple of 19 and 25, we have to get the multip;es of both numbers and identify the least common multiple in them which is 475.

3. What are the Factors of 19?

Answer: Factors of 19 are 1, 19. There are 2 integers that are factors of 19. The greatest factor of 19 is 19.

4. 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.

Answer:

Least Common Multiple of 19 and 25 = 475

Step 1: Find the prime factorization of 19

19 = 19

Step 2: Find the prime factorization of 25

25 = 5 x 5

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

LCM = 475 = 5 x 5 x 19

Step 4: Therefore, the least common multiple of 19 and 25 is 475.