# Lapl; Lcm; Lcxm - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Example:
Find the Laplace transform of e
Command:
LAP(EXP(X))
Result:
1/(X-1)
ILAP, LAPL

## LAPL

Type:
Command
Description:
Returns the Laplacian of a function with respect to a list of variables.
Access:
Input:
Level 2/Argument 1:An expression.
Level 1/Argument 2: A vector of variables.
Output:
The Laplacian of the expression with respect to the variables.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example:
Find, and simplify, the Laplacian of the following expression:
x
e
cos
zy
Command:
LAPL(EXP(X)*COS(Z*Y),[X,Y,Z])
EXPAND(ANS(1))
Result:
-((Y^2+Z^2-1)*EXP(X)*COS(Z*Y))
LAP, ILAP

### LCM

Type:
Function
Description:
Returns the least common multiple of two objects.
Arithmetic, !Þ
Access:
Input:
Level 2/Argument 1: An expression, a number, or object that evaluates to a number.
Level 1/Argument 2: An expression, a number, or object that evaluates to a number.
Output:
The least common multiple of the objects.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example:
Find the least common multiple of the following two expressions:
2
x
1
x–1
Command:
LCM(X^2-1,X-1)
Results:
X^2-1
GCD

### LCXM

Type:
Command
Description:
From a program with two arguments, builds a matrix with the specified number of rows and
columns, with a
Catalog, ...µ
Access:
4-46 Computer Algebra Commands
.
x
L
&
DERIV
INTEG
POLYNOMIAL
= f(i,j).
ij
LL