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# Greatest Common Divisor / Lowest Common Multiple

What is the largest number that can divide two numbers without a remainder? What is the smallest number that is divisible by two numbers without a remainder?

If the lowest common multiple of \(4,6,8,9,\) and \(x\) is \(504,\) what is the third smallest possible integer \(x?\)

**Note:** Third smallest means the third value of \(x\) if the possible values were listed from least to greatest.

What is the lowest common multiple of the numbers 8, 9, 10, and 12?

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