Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Is ∗ commutative?
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Answered by
1
Yes.
a * b = LCM of a and b
b * a = LCM of b and a
We know that, LCM of a and b = LCM of b and a.
Therefore, a * b = b * a
a * b = LCM of a and b
b * a = LCM of b and a
We know that, LCM of a and b = LCM of b and a.
Therefore, a * b = b * a
Answered by
1
yes * is commutative
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