Full Form of LCM is ' Least common multiple'.
That means the smallest number (C) that can be divided by both given integers in the question (a,b). The LCM of two number comes when we take out the smallest common multiple from the tables of the two given numbers in the question.
Example- Find the LCM of 8, 16
so first we will take out the factor of
8= 8, 16, 24, 32, 40, 48,.....
16= 16, 32, 48,......
The common multiple that we get from both the tables is 16.
Ans) LCM of (8,16)= 16
Full Form of HCF is ' Highest Common Factor '.
That means the highest common factor basically the number which can divide both the number leaving number in denominator or which completely divide without leaving a remainder. It comes when we pick as many common numbers from both the numbers factors.
Example- Find HCF of 6,16
Factors of 6= 2 * 3
Factors of 16= 2 * 2 * 2 * 2
Now we will pick the common number from both of the factor = 2.
So HCF of (6,16)= 2