Given Numbers are 156, 164

We can find the LCM of 156, 164 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 156 and 164

Multiples of 156 =156,312,468,624,780,936,1092,1248,1404,1560,1716,1872,2028,2184,2340,2496,2652,

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 156, 164 which is 6396

So, the LCM of 156, 164 is 6396.

One method for determining the LCM of 156 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 156's prime factorization:

Prime factors of 156 are 2, 3,13.

156 = 2²×3¹×13¹

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: 2, 3,13,41

2²×3¹×13¹×41¹ = 6396

This shows that the LCM of 156 and 164 is 6396.

The first step in determining the Least Common Multiple of 156 and 164 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 156 and 164:

Lets look at the first ten multiples of these numbers, 156 and 164:

156,312,468,624,780,936,1092,1248,1404,2652 are the first ten multiples of 156.

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 156 and 164, for example, are 1872, 2652, and 2624. 6396 is the least common multiple since it is the smallest.

156 and 164 have an LCM of 6396.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 156 and 164, than apply into the LCM equation.

GCF(156,164) = 4
LCM(156,164) = ( 156 × 164) / 4
LCM(156,164) = 25584 / 4
LCM(156,164) = 6396

1. What is the LCM of 156 and 164?

The LCM of 156 and 164 is 6396.

2. How to find the lowest common multiple of 156 and 164?

To find the lowest common multiple of 156 and 164, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6396.

3. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

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 156 and 164 = 6396

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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 = 6396 = 2 x 2 x 3 x 13 x 41

Step 4: Therefore, the least common multiple of 156 and 164 is 6396.