Find the lowest common multiple of $$180 and $$330

Sure, here are the steps to find the lowest common multiple (LCM) of 180 and 330:

Step 1: Prime factorize the numbers

• Prime factors of 180: 2^2 * 3^2 * 5
• Prime factors of 330: 2 * 3 * 5 * 11

Step 2: Find the highest power of each prime number in the factorizations

• For 2, it's 2^2 (from 180)
• For 3, it's 3^2 (from 180)
• For 5, it's 5 (from both)
• For 11, it's 11 (from 330)

Step 3: Multiply these highest powers together

• LCM = 2^2 * 3^2 * 5 * 11 = 4 * 9 * 5 * 11 = 1980

So, the lowest common multiple of 180 and 330 is 1980.