Find the LCM of 5656 and 8282.

Sure, here are the steps to find the LCM (Least Common Multiple) of 5656 and 8282:

Step 1: First, we need to find the prime factors of both numbers.

Prime factors of 5656 are: 2, 2, 2, 2, 353 Prime factors of 8282 are: 2, 41, 101

Step 2: Now, we find the highest power of all the factors and multiply them.

The highest power of 2 in both numbers is 4 (from 5656), the highest power of 41 is 1 (from 8282), and the highest power of 101 is 1 (from 8282), and the highest power of 353 is 1 (from 5656).

Step 3: Multiply these highest powers.

LCM = 2^4 * 41^1 * 101^1 * 353^1 = 16 * 41 * 101 * 353 = 23279256

So, the LCM of 5656 and 8282 is 23279256.