13 = 1 x 13, 20 = 2 x 2 x 5. There are no common factors so the LCM is the product, ie 260.
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A common denominator, though the least, is 260.
A common denominator of 20 and 30 is 600. This is NOT the least common denominator, though.
20 is.
20
A common denominator, though not the least one, is 12*20 = 240.