In this paper, we compare the largest order statistics arising from independent heterogeneous Weibull random variables based on the likelihood ratio order. Let $$X_{1},\ldots ,X_{n}$$ X 1 , … , X n be independent Weibull random variables with $$X_{i}$$ X i having shape parameter $$0<\alpha \le 1$$ 0 < α ≤ 1 and scale parameter $$\lambda _{i}$$ λ i , $$i=1,\ldots ,n$$ i = 1 , … , n , and $$Y_{1},\ldots ,Y_{n}$$ Y 1 , … , Y n be a random sample of size n from a Weibull distribution with shape parameter $$0<\alpha \le 1$$ 0 < α ≤ 1 and a common scale parameter $$\overline{\lambda }=\frac{1}{n}\sum \nolimits _{i=1}^{n}\lambda _{i}$$ λ ¯ = 1 n ∑ i = 1 n λ i , the arithmetic mean of $$\lambda _{i}^{'}s$$ λ i ′ s . Let $$X_{n:n}$$ X n : n and $$Y_{n:n}$$ Y n : n denote the corresponding largest order statistics, respectively. We then prove that $$X_{n:n}$$ X n : n is stochastically larger than $$Y_{n:n}$$ Y n : n in terms of the likelihood ratio order, and provide numerical examples to illustrate the results established here.