Find the lowest common multiple of $$2079 and $$162.

Sure, here are the steps to find the lowest common multiple (LCM) of 2079 and 162:

Step 1: Prime factorize the numbers.

• Prime factors of 2079 = 3 × 3 × 3 × 7 × 11
• Prime factors of 162 = 2 × 3 × 3 × 3 × 3

Step 2: Identify the common factors.

• Common factors = 3 × 3 × 3

Step 3: Identify the factors that are not common.

• Factors of 2079 not in 162 = 7 × 11
• Factors of 162 not in 2079 = 2

Step 4: Multiply all the factors identified in steps 2 and 3.

• LCM = 3 × 3 × 3 × 7 × 11 × 2 = 1386

So, the lowest common multiple of 2079 and 162 is 1386.