LCM and HCF are concepts useful in mathematics as well as in determining the time and distance, pipes and cisterns and so on. There are many shortcuts and tricks in analyzing the concepts problems which requires some principles and methods for easy calculations. Co-prime numbers, Prime numbers and terms like multiples, factors and so on are required for easy use of the shortcuts.
24
12
48
36
Prime numbers
LCM
HCF
Prime Factors
10
Prime Factors
HCF
LCF
15
10
12
14
LCF
GCF
HCM
PCM
Even number
Odd number
Composite number
Prime number
1
GCF
HCF
LCM
9
16
18
20
3
5
17
4
1 and 2
1 and 4
2 and 3
6 and 7