Given Numbers are 46, 53

We can find the LCM of 46, 53 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 46 and 53

Multiples of 46 =46,92,138,184,230,276,322,368,414,460,506,552,598,644,690,736,782,

Multiples of 53 =53,106,159,212,265,318,371,424,477,530,583,636,689,742,795,848,901,

Now, get the least common multiple of 46, 53 which is 2438

So, the LCM of 46, 53 is 2438.

One method for determining the LCM of 46 and 53 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 46's prime factorization:

Prime factors of 46 are 2,23.

46 = 2¹×23¹

And this is 53's prime factorization:

Prime factors of 53 are 53.

53 = 53¹

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: 2,23,53

2¹×23¹×53¹ = 2438

This shows that the LCM of 46 and 53 is 2438.

The first step in determining the Least Common Multiple of 46 and 53 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 46 and 53:

Lets look at the first ten multiples of these numbers, 46 and 53:

46,92,138,184,230,276,322,368,414,782 are the first ten multiples of 46.

53,106,159,212,265,318,371,424,477,901 are the first ten multiples of 53.

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 46 and 53, for example, are 552, 782, and 848. 2438 is the least common multiple since it is the smallest.

46 and 53 have an LCM of 2438.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46 and 53, than apply into the LCM equation.

GCF(46,53) = 1
LCM(46,53) = ( 46 × 53) / 1
LCM(46,53) = 2438 / 1
LCM(46,53) = 2438

1. What is the LCM of 46 and 53?

The LCM of 46 and 53 is 2438.

2. How to find the lowest common multiple of 46 and 53?

To find the lowest common multiple of 46 and 53, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2438.

3. What are the Factors of 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

4. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

Answer:

Least Common Multiple of 46 and 53 = 2438

Step 1: Find the prime factorization of 46

46 = 2 x 23

Step 2: Find the prime factorization of 53

53 = 53

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

LCM = 2438 = 2 x 23 x 53

Step 4: Therefore, the least common multiple of 46 and 53 is 2438.