Given Numbers are 151, 159

We can find the LCM of 151, 159 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 151 and 159

Multiples of 151 =151,302,453,604,755,906,1057,1208,1359,1510,1661,1812,1963,2114,2265,2416,2567,

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 151, 159 which is 24009

So, the LCM of 151, 159 is 24009.

One method for determining the LCM of 151 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 151's prime factorization:

Prime factors of 151 are 151.

151 = 151¹

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:151, 3,53

3¹×53¹×151¹ = 24009

This shows that the LCM of 151 and 159 is 24009.

The first step in determining the Least Common Multiple of 151 and 159 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 151 and 159:

Lets look at the first ten multiples of these numbers, 151 and 159:

151,302,453,604,755,906,1057,1208,1359,2567 are the first ten multiples of 151.

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 151 and 159, for example, are 1812, 2567, and 2544. 24009 is the least common multiple since it is the smallest.

151 and 159 have an LCM of 24009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 151 and 159, than apply into the LCM equation.

GCF(151,159) = 1
LCM(151,159) = ( 151 × 159) / 1
LCM(151,159) = 24009 / 1
LCM(151,159) = 24009

1. What is the LCM of 151 and 159?

The LCM of 151 and 159 is 24009.

2. How to find the lowest common multiple of 151 and 159?

To find the lowest common multiple of 151 and 159, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24009.

3. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

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 151 and 159 = 24009

Step 1: Find the prime factorization of 151

151 = 151

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 = 24009 = 3 x 53 x 151

Step 4: Therefore, the least common multiple of 151 and 159 is 24009.