Given Numbers are 158, 164

We can find the LCM of 158, 164 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 158 and 164

Multiples of 158 =158,316,474,632,790,948,1106,1264,1422,1580,1738,1896,2054,2212,2370,2528,2686,

Multiples of 164 =164,328,492,656,820,984,1148,1312,1476,1640,1804,1968,2132,2296,2460,2624,2788,

Now, get the least common multiple of 158, 164 which is 12956

So, the LCM of 158, 164 is 12956.

One method for determining the LCM of 158 and 164 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 158's prime factorization:

Prime factors of 158 are 2,79.

158 = 2¹×79¹

And this is 164's prime factorization:

Prime factors of 164 are 2,41.

164 = 2²×41¹

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: 2,79,41

2²×41¹×79¹ = 12956

This shows that the LCM of 158 and 164 is 12956.

The first step in determining the Least Common Multiple of 158 and 164 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 158 and 164:

Lets look at the first ten multiples of these numbers, 158 and 164:

158,316,474,632,790,948,1106,1264,1422,2686 are the first ten multiples of 158.

164,328,492,656,820,984,1148,1312,1476,2788 are the first ten multiples of 164.

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 158 and 164, for example, are 1896, 2686, and 2624. 12956 is the least common multiple since it is the smallest.

158 and 164 have an LCM of 12956.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 158 and 164, than apply into the LCM equation.

GCF(158,164) = 2
LCM(158,164) = ( 158 × 164) / 2
LCM(158,164) = 25912 / 2
LCM(158,164) = 12956

1. What is the LCM of 158 and 164?

The LCM of 158 and 164 is 12956.

2. How to find the lowest common multiple of 158 and 164?

To find the lowest common multiple of 158 and 164, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12956.

3. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

4. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

Answer:

Least Common Multiple of 158 and 164 = 12956

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 164

164 = 2 x 2 x 41

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

LCM = 12956 = 2 x 2 x 41 x 79

Step 4: Therefore, the least common multiple of 158 and 164 is 12956.