Mathematics & Education Formula • Published on July 30, 2026 • Last updated July 30, 2026
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Least Common Multiple of positive integers a and b
Highest Common Factor (Greatest Common Divisor) of a and b
Given positive integers
The Least Common Multiple (LCM) is the smallest positive integer divisible by all numbers in a set, while the Highest Common Factor (HCF or GCD) is the largest integer that divides all numbers without a remainder. For any two positive integers, the product of their LCM and HCF equals the product of the numbers.
HCF (Highest Common Factor) and GCD (Greatest Common Divisor) are identical terms for the same mathematical concept.
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