Suppose a and b are two positive integers, and their least common multiple is 120, then how many groups of such ordered positive integers (a, b) are there?
设a，b是两个正整数，它们的最小公倍数是120，那么这样的有序正整数(a，b)共有多少组．
<gadget id="calculator">15 + 3 + 6 + 3 + 4 + 1</gadget>
<output>32</output>

<result>32</result>