# Symbols:Abbreviations/L

Previous  ... Next

## L

### LCD

The lowest (or least) common denominator.

### LCM, lcm or l.c.m.

The lowest (or least) common multiple.

### LHS

Left hand side.

In an equation:

$\text {Expression$1$} = \text {Expression$2$}$

the term $\text {Expression$1$}$ is the left hand side.

### LQR

Let $p$ and $q$ be distinct odd primes.

Then:

$\paren {\dfrac p q} \paren {\dfrac q p} = \paren {-1}^{\dfrac {\paren {p - 1} \paren {q - 1} } 4}$

where $\paren {\dfrac p q}$ and $\paren {\dfrac q p}$ are defined as the Legendre symbol.

An alternative formulation is: $\paren {\dfrac p q} = \begin{cases} \quad \paren {\dfrac q p} & : p \equiv 1 \lor q \equiv 1 \pmod 4 \\ -\paren {\dfrac q p} & : p \equiv q \equiv 3 \pmod 4 \end{cases}$

The fact that these formulations are equivalent is immediate.

This fact is known as the Law of Quadratic Reciprocity, or LQR for short.

### lsb or l.s.b.

Least significant bit.

### LSC

Lower semicontinuous.

### lub or l.u.b.

Least upper bound.

Another term for supremum.

Previous  ... Next