Question

If a, b are integers such that a > b then lcm(a, b) lies in _________

(a) a>lcm(a, b)>b

(b) a>b>lcm(a, b)

(c) lcm(a, b)>=a>b

(d) none of the mentioned

The question was posed to me by my college professor while I was bunking the class.

My question comes from Number Theory in division Number Theory and Cryptography of Discrete Mathematics

Answer 1

Correct answer is (c) lcm(a, b)>=a>b

For explanation I would say: LCM of number is either equal to the biggest number or greater than all.