Answer:
The LCM of 88 and 90 is 3960.
By the Euclidean algorithm, [tex]\gcd(88, 90) = \gcd(88, 2) = \gcd(0, 2) = 2[/tex]. Therefore, [tex]\text{lcm}(88,90) = \frac{88 \cdot 90}{\gcd(88, 90)} = \frac{88 \cdot 90}{2} = \boxed{3960}.[/tex]
