Given Numbers are 22, 29

We can find the LCM of 22, 29 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 22 and 29

Multiples of 22 =22,44,66,88,110,132,154,176,198,220,242,264,286,308,330,352,374,

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 22, 29 which is 638

So, the LCM of 22, 29 is 638.

One method for determining the LCM of 22 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 22's prime factorization:

Prime factors of 22 are 2,11.

22 = 2¹×11¹

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: 2,11,29

2¹×11¹×29¹ = 638

This shows that the LCM of 22 and 29 is 638.

The first step in determining the Least Common Multiple of 22 and 29 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 22 and 29:

Lets look at the first ten multiples of these numbers, 22 and 29:

22,44,66,88,110,132,154,176,198,374 are the first ten multiples of 22.

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 22 and 29, for example, are 264, 374, and 464. 638 is the least common multiple since it is the smallest.

22 and 29 have an LCM of 638.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22 and 29, than apply into the LCM equation.

GCF(22,29) = 1
LCM(22,29) = ( 22 × 29) / 1
LCM(22,29) = 638 / 1
LCM(22,29) = 638

1. What is the LCM of 22 and 29?

The LCM of 22 and 29 is 638.

2. How to find the lowest common multiple of 22 and 29?

To find the lowest common multiple of 22 and 29, we have to get the multip;es of both numbers and identify the least common multiple in them which is 638.

3. What are the Factors of 22?

Answer: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22.

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 22 and 29 = 638

Step 1: Find the prime factorization of 22

22 = 2 x 11

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 = 638 = 2 x 11 x 29

Step 4: Therefore, the least common multiple of 22 and 29 is 638.