What is a least common multiple?
she needs it for kids
The least common multiple of two positive integers \(a\) and \(b\) is the smallest number \(n\) such that \(pa=qb=n\), for two positive integers \(p\) and \(q\).
For kids? Then I would truly like for someone to explain to me the kids version of a Fourier transform. :)
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Perhaps I should give you an example: Let \(\left \langle a \right \rangle\) denote the set of positive multiples of \(a\). Then\[\left \langle 3 \right \rangle=\{0,3,6,9,12,15,\dots\}\text{ and}\]\[\left \langle 4 \right \rangle=\{0,4,8,12,15,\dots\}.\]Now, notice that the smallest number that is in both sets is \(12\). Therefore, the least common multiple of \(3\) and \(4\) is \(12\). Is that kids enough?
By the way, I made a mistake: \(0\) should not be in the sets.
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