Given Numbers are 436, 443

We can find the LCM of 436, 443 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 436 and 443

Multiples of 436 =436,872,1308,1744,2180,2616,3052,3488,3924,4360,4796,5232,5668,6104,6540,6976,7412,

Multiples of 443 =443,886,1329,1772,2215,2658,3101,3544,3987,4430,4873,5316,5759,6202,6645,7088,7531,

Now, get the least common multiple of 436, 443 which is 193148

So, the LCM of 436, 443 is 193148.

One method for determining the LCM of 436 and 443 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 436's prime factorization:

Prime factors of 436 are 2,109.

436 = 2²×109¹

And this is 443's prime factorization:

Prime factors of 443 are 443.

443 = 443¹

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: 2,109,443

2²×109¹×443¹ = 193148

This shows that the LCM of 436 and 443 is 193148.

The first step in determining the Least Common Multiple of 436 and 443 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 436 and 443:

Lets look at the first ten multiples of these numbers, 436 and 443:

436,872,1308,1744,2180,2616,3052,3488,3924,7412 are the first ten multiples of 436.

443,886,1329,1772,2215,2658,3101,3544,3987,7531 are the first ten multiples of 443.

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 436 and 443, for example, are 5232, 7412, and 7088. 193148 is the least common multiple since it is the smallest.

436 and 443 have an LCM of 193148.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 436 and 443, than apply into the LCM equation.

GCF(436,443) = 1
LCM(436,443) = ( 436 × 443) / 1
LCM(436,443) = 193148 / 1
LCM(436,443) = 193148

1. What is the LCM of 436 and 443?

The LCM of 436 and 443 is 193148.

2. How to find the lowest common multiple of 436 and 443?

To find the lowest common multiple of 436 and 443, we have to get the multip;es of both numbers and identify the least common multiple in them which is 193148.

3. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. What are the Factors of 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

Answer:

Least Common Multiple of 436 and 443 = 193148

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

Step 2: Find the prime factorization of 443

443 = 443

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

LCM = 193148 = 2 x 2 x 109 x 443

Step 4: Therefore, the least common multiple of 436 and 443 is 193148.