You can use for example list comprehension:
left = ['a', 'b', 'c', 'd', 'e']
right = ['f', 'g', 'h', 'i', 'j']
result = [lc + rc for lc in left for rc in right]
print result
The result will look like:
['af', 'ag', 'ah', 'ai', 'aj', 'bf', 'bg', 'bh', 'bi', 'bj', 'cf', 'cg', 'ch', 'ci', 'cj', 'df', 'dg', 'dh', 'di', 'dj', 'ef', 'eg', 'eh', 'ei', 'ej']