Given Numbers are 23, 29

We can find the LCM of 23, 29 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 23 and 29

Multiples of 23 =23,46,69,92,115,138,161,184,207,230,253,276,299,322,345,368,391,

Multiples of 29 =29,58,87,116,145,174,203,232,261,290,319,348,377,406,435,464,493,

Now, get the least common multiple of 23, 29 which is 667

So, the LCM of 23, 29 is 667.

One method for determining the LCM of 23 and 29 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 23's prime factorization:

Prime factors of 23 are 23.

23 = 23¹

And this is 29's prime factorization:

Prime factors of 29 are 29.

29 = 29¹

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:23,29

23¹×29¹ = 667

This shows that the LCM of 23 and 29 is 667.

The first step in determining the Least Common Multiple of 23 and 29 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 23 and 29:

Lets look at the first ten multiples of these numbers, 23 and 29:

23,46,69,92,115,138,161,184,207,391 are the first ten multiples of 23.

29,58,87,116,145,174,203,232,261,493 are the first ten multiples of 29.

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 23 and 29, for example, are 276, 391, and 464. 667 is the least common multiple since it is the smallest.

23 and 29 have an LCM of 667.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23 and 29, than apply into the LCM equation.

GCF(23,29) = 1
LCM(23,29) = ( 23 × 29) / 1
LCM(23,29) = 667 / 1
LCM(23,29) = 667

1. What is the LCM of 23 and 29?

The LCM of 23 and 29 is 667.

2. How to find the lowest common multiple of 23 and 29?

To find the lowest common multiple of 23 and 29, we have to get the multip;es of both numbers and identify the least common multiple in them which is 667.

3. What are the Factors of 23?

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

4. What are the Factors of 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

Answer:

Least Common Multiple of 23 and 29 = 667

Step 1: Find the prime factorization of 23

23 = 23

Step 2: Find the prime factorization of 29

29 = 29

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

LCM = 667 = 23 x 29

Step 4: Therefore, the least common multiple of 23 and 29 is 667.