Final answer:
The LCM of 100 and 101 is 10,100, because 101 is a prime number and there are no common factors between 100 and 101 except for 1.
Step-by-step explanation:
The question "What is the LCM of 100 and 101" pertains to finding the least common multiple (LCM), which is a concept in mathematics. Since 100 and 101 are both integers and 101 is a prime number (that is, it only has two distinct positive divisors: 1 and itself), the LCM of 100 and 101 is simply the product of these two numbers. There are no common factors between 100 and 101 other than 1, so the LCM is 100 × 101.
In practice, to find the LCM of two numbers, you would typically break them down into their prime factors and multiply each factor the greatest number of times it occurs in either number. However, since 101 has no factors other than 1 and 101, we can instantly say that the LCM of 100 and 101 is 10,100, without the need for decomposition into prime factors.