require 'prime'
def pow(x,y)
	z=1
	y.times{z=z*x%M}
	z
end
M=10**9+7
E=Hash.new{|h,k|h[k]=[]}
N,K=gets.split.map(&:to_i)
IO.popen('factor '+gets){|io|
	io.each{|line|
		h=Hash.new(0)
		line.split[1..-1].map(&:to_i).each{|e|h[e]+=1}
		h.each{|k,v|E[k]<<v}
	}
}
r=1
E.each{|k,v|r=r*pow(k,v.sort_by{|e|-e}.take(K).reduce(:+))%M}
p r