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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="IdealLcm"></a>
IdealLcm
</h2>

Least common multiplier of 2 ideals.

<p><p>

<h3>
Syntax:
</h3>
<pre>I:=IdealLcm(I1, I2);</pre>

<p>

<table>
<tr>
<td>Ideals</td>
<td><pre>  I, I1, I2  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
The lcm of \a and \b is computed as
frac{\a\b}{\a+\b}. The order over which the ideals are
defined must be maximal.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> O:=OrderMaximal(Order(Poly(Zx,[1,6,6,6])));
Generating polynomial: x^3 + 6*x^2 + 6*x + 6
Discriminant: -1836 

kash> I1:=Ideal(18,Elt(O,[0,0,1]));
<18, [0, 0, 1]>
kash> I2:=Ideal(24,Elt(O,[0,0,1]));
<24, [0, 0, 1]>
kash> IdealLcm(I1,I2);
> <
[6 0 0]
[0 6 0]
[0 0 1]
>


</pre>

<p>


<hr>

<p>
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