Introduction:
To find the least number that is divisible by all the numbers from 1 to 10, we need to find the smallest number which is a multiple of all these numbers. This is known as the least common multiple (LCM) of the given numbers.

Method:
To find the LCM of numbers, we can use the prime factorization method. We find the prime factors of each number and then take the highest power of each prime factor.

Prime Factors of Numbers:
Let's find the prime factors of each number from 1 to 10:

1 = 1 (no prime factors)
2 = 2
3 = 3
4 = 2 * 2
5 = 5
6 = 2 * 3
7 = 7
8 = 2 * 2 * 2
9 = 3 * 3
10 = 2 * 5

Finding the LCM:
Now, we take the highest power of each prime factor:

2^3 * 3^2 * 5 * 7 = 8 * 9 * 5 * 7 = 2520

Hence, the least number that is divisible by all the numbers from 1 to 10 is 2520.

Explanation:
The LCM is the smallest number that is divisible by all the given numbers. In this case, we need to find the LCM of numbers from 1 to 10.

We find the prime factors of each number and then take the highest power of each prime factor. By doing so, we obtain the expression 2^3 * 3^2 * 5 * 7.

Multiplying these prime factors together, we get 8 * 9 * 5 * 7 = 2520.

Hence, the least number that is divisible by all the numbers from 1 to 10 is 2520.

Conclusion:
The least number that is divisible by all the numbers from 1 to 10 is 2520. This is obtained by finding the prime factors of each number and taking the highest power of each prime factor.