diff --git a/stdlib/LinearAlgebra/src/generic.jl b/stdlib/LinearAlgebra/src/generic.jl
index a730e213017a3..4f0b404bafe89 100644
--- a/stdlib/LinearAlgebra/src/generic.jl
+++ b/stdlib/LinearAlgebra/src/generic.jl
@@ -469,25 +469,25 @@ For numbers, return ``\\left( |x|^p \\right)^{1/p}``.
 # Examples
 ```jldoctest
 julia> norm(2, 1)
-2
+2.0
 
 julia> norm(-2, 1)
-2
+2.0
 
 julia> norm(2, 2)
-2
+2.0
 
 julia> norm(-2, 2)
-2
+2.0
 
 julia> norm(2, Inf)
-2
+2.0
 
 julia> norm(-2, Inf)
-2
+2.0
 ```
 """
-@inline norm(x::Number, p::Real=2) = p == 0 ? (x==0 ? zero(abs(x)) : oneunit(abs(x))) : abs(x)
+@inline norm(x::Number, p::Real=2) = p == 0 ? (x==0 ? zero(abs(float(x))) : oneunit(abs(float(x)))) : abs(float(x))
 norm(::Missing, p::Real=2) = missing
 
 # special cases of opnorm
diff --git a/stdlib/LinearAlgebra/test/generic.jl b/stdlib/LinearAlgebra/test/generic.jl
index cff5aefff6a8f..2146fb5112f5e 100644
--- a/stdlib/LinearAlgebra/test/generic.jl
+++ b/stdlib/LinearAlgebra/test/generic.jl
@@ -225,6 +225,11 @@ end
     end
 end
 
+@testset "Issue #30466" begin
+    @test norm([typemin(Int), typemin(Int)], Inf) == -float(typemin(Int))
+    @test norm([typemin(Int), typemin(Int)], 1) == -2float(typemin(Int))
+end
+
 @testset "potential overflow in normalize!" begin
     δ = inv(prevfloat(typemax(Float64)))
     v = [δ, -δ]
diff --git a/test/testhelpers/Quaternions.jl b/test/testhelpers/Quaternions.jl
index 0920b9dea00c6..280965f3a70e1 100644
--- a/test/testhelpers/Quaternions.jl
+++ b/test/testhelpers/Quaternions.jl
@@ -12,6 +12,7 @@ struct Quaternion{T<:Real} <: Number
 end
 Quaternion(s::Real, v1::Real, v2::Real, v3::Real) = Quaternion(promote(s, v1, v2, v3)...)
 Base.abs2(q::Quaternion) = q.s*q.s + q.v1*q.v1 + q.v2*q.v2 + q.v3*q.v3
+Base.float(z::Quaternion{T}) where T = Quaternion(float(z.s), float(z.v1), float(z.v2), float(z.v3))
 Base.abs(q::Quaternion) = sqrt(abs2(q))
 Base.real(::Type{Quaternion{T}}) where {T} = T
 Base.conj(q::Quaternion) = Quaternion(q.s, -q.v1, -q.v2, -q.v3)