Given Numbers are 421, 428

We can find the LCM of 421, 428 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 421 and 428

Multiples of 421 =421,842,1263,1684,2105,2526,2947,3368,3789,4210,4631,5052,5473,5894,6315,6736,7157,

Multiples of 428 =428,856,1284,1712,2140,2568,2996,3424,3852,4280,4708,5136,5564,5992,6420,6848,7276,

Now, get the least common multiple of 421, 428 which is 180188

So, the LCM of 421, 428 is 180188.

One method for determining the LCM of 421 and 428 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 421's prime factorization:

Prime factors of 421 are 421.

421 = 421¹

And this is 428's prime factorization:

Prime factors of 428 are 2,107.

428 = 2²×107¹

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:421, 2,107

2²×107¹×421¹ = 180188

This shows that the LCM of 421 and 428 is 180188.

The first step in determining the Least Common Multiple of 421 and 428 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 421 and 428:

Lets look at the first ten multiples of these numbers, 421 and 428:

421,842,1263,1684,2105,2526,2947,3368,3789,7157 are the first ten multiples of 421.

428,856,1284,1712,2140,2568,2996,3424,3852,7276 are the first ten multiples of 428.

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 421 and 428, for example, are 5052, 7157, and 6848. 180188 is the least common multiple since it is the smallest.

421 and 428 have an LCM of 180188.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 421 and 428, than apply into the LCM equation.

GCF(421,428) = 1
LCM(421,428) = ( 421 × 428) / 1
LCM(421,428) = 180188 / 1
LCM(421,428) = 180188

1. What is the LCM of 421 and 428?

The LCM of 421 and 428 is 180188.

2. How to find the lowest common multiple of 421 and 428?

To find the lowest common multiple of 421 and 428, we have to get the multip;es of both numbers and identify the least common multiple in them which is 180188.

3. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

4. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

Answer:

Least Common Multiple of 421 and 428 = 180188

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 428

428 = 2 x 2 x 107

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

LCM = 180188 = 2 x 2 x 107 x 421

Step 4: Therefore, the least common multiple of 421 and 428 is 180188.