Given Numbers are 152, 159

We can find the LCM of 152, 159 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 152 and 159

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

Multiples of 159 =159,318,477,636,795,954,1113,1272,1431,1590,1749,1908,2067,2226,2385,2544,2703,

Now, get the least common multiple of 152, 159 which is 24168

So, the LCM of 152, 159 is 24168.

One method for determining the LCM of 152 and 159 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 159's prime factorization:

Prime factors of 159 are 3,53.

159 = 3¹×53¹

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: 2,19, 3,53

2³×3¹×19¹×53¹ = 24168

This shows that the LCM of 152 and 159 is 24168.

The first step in determining the Least Common Multiple of 152 and 159 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 152 and 159:

Lets look at the first ten multiples of these numbers, 152 and 159:

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

159,318,477,636,795,954,1113,1272,1431,2703 are the first ten multiples of 159.

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 159, for example, are 1824, 2584, and 2544. 24168 is the least common multiple since it is the smallest.

152 and 159 have an LCM of 24168.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 159, than apply into the LCM equation.

GCF(152,159) = 1
LCM(152,159) = ( 152 × 159) / 1
LCM(152,159) = 24168 / 1
LCM(152,159) = 24168

1. What is the LCM of 152 and 159?

The LCM of 152 and 159 is 24168.

2. How to find the lowest common multiple of 152 and 159?

To find the lowest common multiple of 152 and 159, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24168.

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 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

Answer:

Least Common Multiple of 152 and 159 = 24168

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

LCM = 24168 = 2 x 2 x 2 x 3 x 19 x 53

Step 4: Therefore, the least common multiple of 152 and 159 is 24168.