What is the least common multiple of 8 and 4? of 5 and 3?

the multiples of 8 : 8, 16, 24, 32,

the multiples of 4 : 4, 8, 12, 16,

the least common multiple is 8

the multiples of 5 : 5, 10, 15, 20,

multiples of 3 : 3, 6, 9, 12, 15, 18,

the least common multiple is 15

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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