What is the LCM and HCF of two numbers?
LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.
HCF (Highest Common Factor), also called GCD (Greatest Common Divisor), is the largest number that divides both numbers exactly.
How to find them:
- To find LCM, list the multiples of both numbers and pick the smallest common one.
- To find HCF, list the factors of both numbers and pick the biggest common one.
Example with 12 and 18:
Multiples of 12: 12, 24, 36, 48, ...
Multiples of 18: 18, 36, 54, 72, ...
Common multiples: 36, 72, ...
So, LCM = 36
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
Common factors: 1, 2, 3, 6
So, HCF = 6
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