LCM & HCF Calculator
Calculate the Least Common Multiple (LCM) and Highest Common Factor (HCF) of two or more positive integers.
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Understanding LCM & HCF
Least Common Multiple (LCM)
The LCM of two or more numbers is the smallest positive number that is divisible by all the numbers.
LCM of 4, 6
12
LCM of 3, 5, 7
105
LCM of 12, 18
36
Highest Common Factor (HCF)
The HCF (also called GCD) is the largest positive integer that divides all the numbers without a remainder.
HCF of 12, 18
6
HCF of 24, 36
12
HCF of 15, 25, 35
5
Applications of LCM & HCF
- LCM Applications: Finding common time periods, combining fractions, determining repeat patterns
- HCF Applications: Simplifying fractions, dividing quantities evenly, finding common factors
- Mathematics: Essential in number theory, algebra, and arithmetic operations
- Computer Science: Used in algorithms, cryptography, and data structures
- Real Life: Scheduling tasks, dividing objects, organizing events with regular intervals
