Find the LCM of 36 and 48.

Sure, here are the steps to find the LCM (Least Common Multiple) of 36 and 48:

Step 1: Write down the prime factors of each number.

• The prime factors of 36 are 2, 2, 3, 3.
• The prime factors of 48 are 2, 2, 2, 2, 3.

Step 2: Write down all the prime numbers that appear in either list.

• The prime numbers that appear in either list are 2 and 3.

Step 3: For each prime number, count how many times it appears in each list. Take the highest count for each prime number.

• The number 2 appears 2 times in the first list and 4 times in the second list. So, take 4.
• The number 3 appears 2 times in both lists. So, take 2.

Step 4: Multiply together each prime number the highest number of times it occurs.

• Multiply 2 four times and 3 two times. So, 22223*3 = 144.

So, the LCM of 36 and 48 is 144.