# 4.3.5. Common Multiples and Lowest Common Multiple (L.C.M.)

Complete the table below.

First Number 82 Second Number Their Highest Common Factor Their Lowest Common Multiple 69 3 2 070 2 2 788
• A90, 68
• B159, 68
• C90, 150
• D159, 150

### Example

Complete the table below.

First Number 82 Second Number Their Highest Common Factor Their Lowest Common Multiple 69 3 2 070 2 2 788

### Solution

The product of any two numbers is equal to the product of their highest common factor and their lowest common multiple:

Step 1: Find the missing number in the top row of the table.

Write an equation and simplify.

Using the relation between multiplication and division, we know that the first number is equal to .

, so the first number is 90.

Step 2: Find the missing number in the bottom row of the table.

Write an equation and simplify.

Using the relation between multiplication and division, we know that the second number is equal to .

, so the second number is 68.

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