If $X$ is distributed normally $N(\mu,\sigma^2)$ then the variable $Y = \exp(X)$ is lognormally distributed.
If the variable $Y$ is multiplied by some constant $C$:
$$D = CY$$
Is the variable $D$ also lognormally distributed?
Yes it is since:
$$D = C\exp(X)$$ $$\log(D) = \log(C\exp(X)) = \ln(C) + X$$ $$X + \ln(C) \sim N(\mu + ln(C), \sigma^2)$$ $$D \sim \ln N(\mu + ln(C), \sigma^2)$$