Find the least common multiple (LCM) for the following pair of numbers.
10 and 16
The prime factorization of 10 is 2 x 5.
The prime factorization of 16 is 2 x 2 x 2 x 2.
To find the LCM, we need to consider the highest power of each prime factor that appears in the prime factorization of each number.
Largest power of 2: 2^4 = 16
Largest power of 5: 5^1 = 5
Therefore, the LCM of 10 and 16 is 16 x 5 = 80.