Why is this loop not ending?

function [ number ] = SmallestNumber(n,a,b)
% Smallest natural number function
% inputs:
% n = maximum value
% a = first number n should be divisible
% b = second number n should be divisible by
% output:
% number = the smallest number (not exceeding the value of 'n') that is % divisible by 'a' and 'b'
i = 1;
while i =< n
    A = rem(i,a);
    B = rem(i,b);
    if A <= 0 && B <= 0;
        number = i 
    else
        i = i + 1;
    end
end

This loop is an infinite loop, how can I fix it so it ends and displays 'number = '?

Thank you!

[Stephen23]

@Simone Frauenfelder: editing your question text away will not encourage people to help you. You unilaterally decide that our volunteer efforts are disposable according to your own wishes, because now our answers are meaningless to anyone else. This will not encourage people to help you, if they know that they will be treated as your own personal consultancy.

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[KL]

Your loop variable increment i=i+1; is part of the else case so once the condition becomes true, i is not incremented. Move that statement outside and you'll see your result. Something like this

    if A <= 0 && B <= 0; 
        number = i
        break;
    end
    i = i + 1;
end   % end from while loop

Adding break after finding the number breaks the loop.

Answer 2

[Stephen23]

It would be simpler to use a for loop, then break is not required:

function num = SmallestNumber(n,a,b)
num = Inf;
for k = n:-1:2
    if rem(k,a)==0 && rem(k,b)==0
        num = k;
    end
end
end

And tested:

>> SmallestNumber(100,9,6)
ans =  18