Hello,

I was trying to write a program in python to print the smallest number that is evenly divisable by all the numbers from 1-20. It is a project eluer question, no. 5.

**Context:** I can write the program to print the smallest number evenly divisable by all the numbers from 1-10. It even works for 1-15 and 1-16 (although latter takes a little time), but it doesn’t work for 1-20. Why?

I tried to writer the program but it doesn’t work. It doesn’t even show an error.

**Code**

Here is the code:

```
a = 1
b = 1
while (b<21):
if (a%b==0):
b = b+1
else:
a = a+1
b = 1
print ("The smallest number that is evenly divisable by all the numbers from 1 to 20 is: ", a)
```

Here is the output:

```
#Like it shows nothing. I am using python comment to explain that. It just stays blank.
```

But if I use the same code to figure out the smallest number divisable by all numbers from 1-10 then it works:

```
a = 1
b = 1
while (b<11):
if (a%b==0):
b = b+1
else:
a = a+1
b = 1
print ("The smallest number that is evenly divisable by all the numbers from 1 to 20 is: ", a)
```

Output:

```
The smallest number that is evenly divisable by all the numbers from 1 to 20 is: 2520 #which is the correct answer.
```

And If I do the same thing for 1-15 or 1-16 It works there too. But sometimes it can take some time.

Note: While I was typing this post I ran the 1-20 code again and it did show a result after quite some time (like at least 30 seconds to a minute) but I think the answer was wrong.

**Why does this happen?:** Now does this happen cause there is something wrong with my code (which should’ve been caught when I ran the other test codes) or it just takes time. Why does it happen?

Thank you

Joyeta