Relation between LCM and GCD
71392
Is $\operatorname{lcm}(a,\gcd(b,c))=\gcd(\operatorname{lcm}(a,b),\operatorname{lcm}(a,c))$
28021
Showing that these two definitions of $\gcd(a,b)$ are equivalent
62959
How to find GCD, LCM on a set of numbers
152005
Given: $\operatorname{gcf}(x,36)=9$ and $\operatorname{lcm}(x,36)=108$. Find $x$.
85688
How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$
1713
number theory $\gcd(a,bc)=\gcd(a,c)$
51538
Intuition for $\,c\mid a,b \iff c\mid \gcd(a,b)$
112486
Bounds on a sum of gcd's
76126
How to find the GCD of two polynomials
46555
How to calculate GCD of Gaussian integers?
72747
Proving gcd($a,b$)lcm($a,b$) = $|ab|$
58579
Can't understand a proof: Let $a,b,c$ be integers. If $a$ and $b$ divide $c$, then $lcm(a,b)$ also divides $c$
52483
Showing that $(m)\cap (n)=(\operatorname{lcm}(m,n))$ and $(m)+(n)=(\gcd(m,n))$ for any $m,n\in\mathbb{Z}$
154959
Proof of associativity of GCD?
43728
Proof via Group Theory : $\mathrm{lcm}(a,b) \cdot \gcd(a,b) = |ab|$
4648
Proving that $\mathbb{Z}_m\oplus \mathbb{Z}_n \cong \mathbb{Z}_d\oplus \mathbb{Z}_l $ as groups, where $l=\mathrm{lcm}(m,n)$ and $d=\gcd(m,n)$
157508
prove $lcm(a,gcd(b,c))=gcd(lcm(a,b),lcm(a,c))$