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Let $\ast$ be the binary operation on $N$ given by $a \ast b = $ LCM of $a$ and $b$. $(i)$ Find $5 \ast 7, \; 20 \ast 16$.

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- The lowest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
- An operation $\ast$ on $A$ is commutative if $a\ast b = b \ast a\; \forall \; a, b \in A$

Given that the binary operation on N given by $a \ast b = $ LCM $(a,b)$:

We know from the definition of LCM that LCM $(a,b)$ = LCM $(b,a)$. Therefore, $\ast$ is commutative.

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