A man is going to cover a square floor with rectangular tiles of sides 14 cm & 18 cm Find the least possible side length of the square floor?

14 = 7x2
18 = 9x2
∴ L.C.M. of 14,18 = 7x9x2 = 126

Thus, least possible side length of the square floor =126 cm

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Explanation :
=========
要求 "a square(方形) floor" :
現得出一塊 126cm x 126cm 的 square floor,
即 (7x9x2)cm x (7x9x2)cm square floor,
或 (14x9)cm x (18x7)cm square floor.

∴ 是把 (14x18) 的 rectangular tiles :
________
|　　　　|
|　　　　| 18
|　　　　|
|_______|
　 14
橫向鋪9塊 & 直向鋪7塊, forming a square.

A man 14 cm *18 cm