Given Numbers are 421, 427

We can find the LCM of 421, 427 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 421 and 427

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

Multiples of 427 =427,854,1281,1708,2135,2562,2989,3416,3843,4270,4697,5124,5551,5978,6405,6832,7259,

Now, get the least common multiple of 421, 427 which is 179767

So, the LCM of 421, 427 is 179767.

One method for determining the LCM of 421 and 427 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 427's prime factorization:

Prime factors of 427 are 7,61.

427 = 7¹×61¹

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, 7,61

7¹×61¹×421¹ = 179767

This shows that the LCM of 421 and 427 is 179767.

The first step in determining the Least Common Multiple of 421 and 427 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 421 and 427:

Lets look at the first ten multiples of these numbers, 421 and 427:

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

427,854,1281,1708,2135,2562,2989,3416,3843,7259 are the first ten multiples of 427.

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 427, for example, are 5052, 7157, and 6832. 179767 is the least common multiple since it is the smallest.

421 and 427 have an LCM of 179767.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 421 and 427, than apply into the LCM equation.

GCF(421,427) = 1
LCM(421,427) = ( 421 × 427) / 1
LCM(421,427) = 179767 / 1
LCM(421,427) = 179767

1. What is the LCM of 421 and 427?

The LCM of 421 and 427 is 179767.

2. How to find the lowest common multiple of 421 and 427?

To find the lowest common multiple of 421 and 427, we have to get the multip;es of both numbers and identify the least common multiple in them which is 179767.

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 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

Answer:

Least Common Multiple of 421 and 427 = 179767

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 179767 = 7 x 61 x 421

Step 4: Therefore, the least common multiple of 421 and 427 is 179767.