Answer:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
Step-by-step explanation:
Given: Two numbers are P and Q
To prove: product of their greatest common divisor and their least common multiple is equal to PQ
Solution:
Consider the following relation:
Greatest common divisor (P,Q) × Least common multiple (P,Q) = Product of numbers P and Q
Therefore,
Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ
