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Answer: The smallest two-digit composite number is ten, while the smallest composite number is four, as we all know.
Divisors of 10 are: 1, 2, 5 and 10
Divisors of 4 are: 1, 2 and 4
We obtain the following as a result of prime factorization:
4 = 1 × 2 × 2
10 = 1 × 2 × 5
Therefore, the LCM of 4 and 10 is:
2 × 2 × 5 = 20
Hence, the lowest two-digit composite number has an LCM of 20 while the smallest composite number has an LCM of 20.