Calculate LCM: Finding the Least Common Multiple of Denominators 8 and 5

Question

Given two denominators, what is their least common multiple?

$\boxed{8}~~~\boxed{5}$

Step-by-Step Solution

To find the least common multiple (LCM) of 8 and 5, identify the prime factors:

$8 = 2^3$

$5 = 5$

The LCM is the product of the highest power of each prime:

$2^3 \times 5 = 8 \times 5 = 40$

Answer

40

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Question Types

Common Denominators: The common denominator is smaller than the product of the denominators