Question : If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?
Option 1: $1$
Option 2: $\frac{K1}{K2}$
Option 3: $K1 + K2$
Option 4: $K1 × K2$
Correct Answer: $K1 × K2$
Solution :
Factors of K1 = 1 × K1
Factors of K2 = 1 × K2
Highest Common Factor of K1 and K2 = 1
Least common multiple of K1 and K2 = K1 × K2
Product of HCF and LCM of K1 and K2 = 1 × K1 × K2 = K1 × K2
Hence, the correct answer is $K1 × K2$.
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