LCM of even and odd integers Is the least common multiple of an even $2k$ and odd number $2l+1$ always the product of both numbers $2k(2l+1)$ ?
And also is the least common multiples of two odd numbers the product of both odd numbers?
Thank you.

No. The only times either works, is if gcd(x,y)=1 . Otherwise, it fails 15 and 3 for example have gcd of 3. that mean's if we multiply them to get their product, we have a number with a factor of 9 which neither number has on it's own. We have to only have factors the original numbers have.
This works in general, lcm(4,4)=4 not 16, lcm(6,3)=6 not 18, lcm(8,12)=24 not 96, etc.
