PLEASE SHOW ALL STEPS WITH EXPLAINATION Let m and n be positive integers and let k...

Question

Question

PLEASE SHOW ALL STEPS WITH EXPLAINATION

Let m and n be positive integers and let k be the least common multiple of m and n. Show that mZ∩nZ=kZ.

math algebra

Answer 1

Answer #1

briven that, ka dom (m, n) Now, since nlk, we have ke I and consequently kz enz Similarly, kz smz.. so, it follows that KZ a

Answer 2

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