Find the smallest 5-digit number exactly divisible by 24 and 36.

Question

Accepted Answer

$$LCM(24,36): 24=2^3	imes3,\ 36=2^2	imes3^2 \Rightarrow LCM=2^3	imes3^2=72$$ Smallest 5-digit number is 10000. $10000 \div 72 = 138.88...$, so next multiple $=139	imes72=10008$. Required number = **10008**.

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