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LCM & GCF Calculator — Greatest Common Factor & Multiple
Find the greatest common factor and least common multiple for any set of integers.
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More in Mathematics & Statistics:
Integers for LCM & GCF
Euclidean Algorithm Relationship
Transparent mathematical methodology explained in plain English.
LCM(a, b) = |a × b| / GCF(a, b) Uses repeated division remainders to determine the greatest common divisor, then computes the least common multiple.
Variables Explained:
- a, b: Integer values.
Real Project Example
Finding GCF and LCM of 24 and 36
Factoring numbers.
Sample Project Inputs:
Number 1: 24
Number 2: 36
Step-by-Step Calculation:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
- Greatest Common Factor (GCF) = 12.
- LCM = (24 × 36) / 12 = 864 / 12 = 72.
Calculated Answer: GCF = 12; LCM = 72.
Knowledge Base
Frequently Asked Questions: LCM & GCF Calculator
Click any question below to expand quick answers, formulas, and expert tips.
What is the difference between GCF and LCM?
The Greatest Common Factor (GCF) is the largest integer that divides evenly into all numbers. The Least Common Multiple (LCM) is the smallest positive integer that is a multiple of all numbers.