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insens350 [35]
3 years ago
11

Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common mult

iple is equal toP Q.
Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0

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

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