Given Numbers are 164, 172

We can find the LCM of 164, 172 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 164 and 172

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

Multiples of 172 =172,344,516,688,860,1032,1204,1376,1548,1720,1892,2064,2236,2408,2580,2752,2924,

Now, get the least common multiple of 164, 172 which is 7052

So, the LCM of 164, 172 is 7052.

One method for determining the LCM of 164 and 172 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 164's prime factorization:

Prime factors of 164 are 2,41.

164 = 2²×41¹

And this is 172's prime factorization:

Prime factors of 172 are 2,43.

172 = 2²×43¹

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: 2,41,43

2²×41¹×43¹ = 7052

This shows that the LCM of 164 and 172 is 7052.

The first step in determining the Least Common Multiple of 164 and 172 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 164 and 172:

Lets look at the first ten multiples of these numbers, 164 and 172:

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

172,344,516,688,860,1032,1204,1376,1548,2924 are the first ten multiples of 172.

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 164 and 172, for example, are 1968, 2788, and 2752. 7052 is the least common multiple since it is the smallest.

164 and 172 have an LCM of 7052.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 164 and 172, than apply into the LCM equation.

GCF(164,172) = 4
LCM(164,172) = ( 164 × 172) / 4
LCM(164,172) = 28208 / 4
LCM(164,172) = 7052

1. What is the LCM of 164 and 172?

The LCM of 164 and 172 is 7052.

2. How to find the lowest common multiple of 164 and 172?

To find the lowest common multiple of 164 and 172, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7052.

3. 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.

4. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

Answer:

Least Common Multiple of 164 and 172 = 7052

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 7052 = 2 x 2 x 41 x 43

Step 4: Therefore, the least common multiple of 164 and 172 is 7052.