Multiples of 13 include 13, 26, 39 and so on. For them to be common, they need to be compared to another set of multiples.
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Since both 11 and 13 are prime numbers, the LCM of these 2 number is 11 * 13 = 143. All multiples of 143 are multiples of 11 and 13 as well
There is an infinite number of common multiples for 12 and 13, and each is a multiple of the LCM of 12 and 13, which is 156, 312, 468, 624, 780, 936, and so on.
Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52... Multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104... Common multiples of 4 and 13 are 52, 104, 156...
They are all multiples.
Those are known as "common multiples". The smallest POSITIVE of these common multiples is called the "least common multiple".