LCM from Prime Decomposition/Examples

Examples of Use of LCM from Prime Decomposition

$125$ and $150$

The lowest common multiple of $125$ and $150$ is:

$\lcm \set {125, 150} = 750$

$132$ and $154$

The lowest common multiple of $132$ and $154$ is:

$\lcm \set {132, 154} = 924$

$39$ and $143$

The lowest common multiple of $39$ and $143$ is:

$\lcm \set {39, 143} = 429$

$253$ and $506$

The lowest common multiple of $253$ and $506$ is:

$\lcm \set {253, 506} = 506$

$111$ and $1221$

The lowest common multiple of $111$ and $1221$ is:

$\lcm \set {111, 1221} = 1221$

$39$, $102$ and $75$

The lowest common multiple of $39$, $102$ and $75$ is:

$\lcm \set {39, 102, 75} = 33 \, 150$

$p^2 q$ and $p q r$

The lowest common multiple of $p^2 q$ and $p q r$, where $p$, $q$ and $r$ are all primes, is:

$\lcm \set {p^2 q, p q r} = p^2 q r$