$a,b\in\mathbb Z^+$, and the equations given are $a-b=120$, and $\operatorname{lcm}(a,b)=105\gcd(a,b)$. What is $a$?
111555
Find $a,b \in \mathbb{N}$ with $\mathrm{lcm}(a,b)=12\gcd(a,b)\,$ and $\,a\bmod b = 5$
103147
$\operatorname{gcd}(ab,a+b)=1$ if $a$ and $b$ are relatively prime
11600
$\gcd(a,\operatorname{lcm}(b,c))=\operatorname{lcm}(\gcd(a,b),\gcd(a,c))$
69279
If $\gcd(a,b)=1$ then, $\gcd(a^2,b^2)=1$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
148704
Reason for LCM of all numbers from 1 .. n equals roughly $e^n$
39492
Finding $z\in \mathbb C$ with $\sin z = 2$?
69967
How to prove $\gcd(a^m-b^m,a^n-b^n) = a^{\gcd(m,n)} - b^{\gcd(m,n)} $?
13317
show that $a^{12} \equiv 1 \mod 32760$ for each $a \in \mathbb{Z}$ such that $\text{gcd}(a, 32760) = 1$
129381
Modular equation problem
151764
modular arithmetic, solving $ax + b \equiv c \pmod d$?
107095
Prove $\gcd(a,b) \gcd(a,c) \gcd(b,c) \,\text{lcm} (a,b,c)^2=$ $\text{lcm}(a,b)\,\text{lcm}(a,c) \,\text{lcm}(b,c) \gcd(a,b,c)^2$
96376
Why do we notate the greatest common divisor of $a$ and $b$ as $(a,b)$?
83776
Is there a direct proof of this lcm identity?
52483
Showing that $(m)\cap (n)=(\operatorname{lcm}(m,n))$ and $(m)+(n)=(\gcd(m,n))$ for any $m,n\in\mathbb{Z}$
130513
LCM is associative: $\ \text{lcm}(\text{lcm}(a,b),c)=\text{lcm}(a,\text{lcm}(b,c))$