Given Numbers are 152, 158

We can find the LCM of 152, 158 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 152 and 158

Multiples of 152 =152,304,456,608,760,912,1064,1216,1368,1520,1672,1824,1976,2128,2280,2432,2584,

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

Now, get the least common multiple of 152, 158 which is 12008

So, the LCM of 152, 158 is 12008.

One method for determining the LCM of 152 and 158 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 152's prime factorization:

Prime factors of 152 are 2,19.

152 = 2³×19¹

And this is 158's prime factorization:

Prime factors of 158 are 2,79.

158 = 2¹×79¹

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: 2,19,79

2³×19¹×79¹ = 12008

This shows that the LCM of 152 and 158 is 12008.

The first step in determining the Least Common Multiple of 152 and 158 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 152 and 158:

Lets look at the first ten multiples of these numbers, 152 and 158:

152,304,456,608,760,912,1064,1216,1368,2584 are the first ten multiples of 152.

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

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 152 and 158, for example, are 1824, 2584, and 2528. 12008 is the least common multiple since it is the smallest.

152 and 158 have an LCM of 12008.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 158, than apply into the LCM equation.

GCF(152,158) = 2
LCM(152,158) = ( 152 × 158) / 2
LCM(152,158) = 24016 / 2
LCM(152,158) = 12008

1. What is the LCM of 152 and 158?

The LCM of 152 and 158 is 12008.

2. How to find the lowest common multiple of 152 and 158?

To find the lowest common multiple of 152 and 158, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12008.

3. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. 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.

Answer:

Least Common Multiple of 152 and 158 = 12008

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

LCM = 12008 = 2 x 2 x 2 x 19 x 79

Step 4: Therefore, the least common multiple of 152 and 158 is 12008.