Question

If p and q are two consecutive odd natural numbers greater than 3, find the difference between LCM(p,q) and HCF(p,q).

Answer 1

P and Q are given to be consecutive numbers.

Also, P < Q

So, P can be written as P = Q - 1

⇒ The only common factor in P and Q is 1

So, P and Q are both the co-prime numbers And H.C.F. of two co-prime numbers is given by 1.

⇒ H.C.F. of P and Q = 1