## Basic College Mathematics (9th Edition)

The LCM is $1760$ because the prime factorization shows that the number $55$ is included in the prime factorisation of $1750$.
$55 = 5 \cdot 11$ $1760 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 55 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11$ LCM $= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11 = 1760$.