Given Numbers are 159, 164

We can find the LCM of 159, 164 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 159 and 164

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

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 159, 164 which is 26076

So, the LCM of 159, 164 is 26076.

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

Prime factors of 159 are 3,53.

159 = 3¹×53¹

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: 3,53, 2,41

2²×3¹×41¹×53¹ = 26076

This shows that the LCM of 159 and 164 is 26076.

The first step in determining the Least Common Multiple of 159 and 164 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 159 and 164:

Lets look at the first ten multiples of these numbers, 159 and 164:

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

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 159 and 164, for example, are 1908, 2703, and 2624. 26076 is the least common multiple since it is the smallest.

159 and 164 have an LCM of 26076.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 159 and 164, than apply into the LCM equation.

GCF(159,164) = 1
LCM(159,164) = ( 159 × 164) / 1
LCM(159,164) = 26076 / 1
LCM(159,164) = 26076

1. What is the LCM of 159 and 164?

The LCM of 159 and 164 is 26076.

2. How to find the lowest common multiple of 159 and 164?

To find the lowest common multiple of 159 and 164, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26076.

3. 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.

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 159 and 164 = 26076

Step 1: Find the prime factorization of 159

159 = 3 x 53

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 = 26076 = 2 x 2 x 3 x 41 x 53

Step 4: Therefore, the least common multiple of 159 and 164 is 26076.