00:01
We have been asked to complete a certain statement, and we can see that the statement is related to the least common denominator of two fractions.
00:07
So let's just consider an example.
00:09
Let us consider the fractions 1 over 6 and 1 over 4.
00:13
We want to find the least common denominator of the two fractions, so we just need to find the lcm that is the least common multiple of the two denominators.
00:21
So we have 6 and 4.
00:23
Now 6 is 2 times 3.
00:25
4 is 2 times 2.
00:26
We can write that as 2 squared.
00:27
And here let's just write 2 as 2 to the power of 1 and 3 as 3 to the power of 1.
00:33
So we have done the prime factorization of the number 6 and 4.
00:37
And how do you find the lcm? we will consider the product of the factors raised to the greatest power that they occur in any one of the numbers.
00:45
So here we have 2 to the power of 1.
00:47
Here we have 2 to the power of 2...