Least Common Multiple Notation

Question

I was looking at the Wikipedia page on Coin problem when I found this:

If an integer ${\displaystyle c|{\textrm {lcm}}(a,b)} $ and $ {\displaystyle \gcd(a,b,c)=1} $ , then $ {\displaystyle g(a,b,c)={\textrm {lcm}}(c,a)+{\textrm {lcm}}(c,b)-a-b-c}.$

What is ${\displaystyle c|{\textrm {lcm}}(a,b)}$? I used Google and Wikipedia, but I still can't find what it means. I even searched here.

Please help me.

Thanks.

Answer 1

In plain words:

$c$ divides the lowest common multiple of $a$ and $b$

Answer 2

Symbol | means "divides", lcm means "least common mutliple", gcd means "greatest common divisor", and g denotes the Frobenius number.