LCM–HCF Mixed Applications

LCM–HCF के mixed questions

title

LCM–HCF Mixed Applications

  • LCM & HCF
  • LCM–HCF Mixed Applications
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Interactive — learn by doing. Drag, tap and explore to build the intuition.

HCF takes the LOW powers, LCM the HIGH

Line the two numbers up by prime. HCF keeps the smaller power of each shared prime; LCM keeps the larger of every prime.

12 = 2^2 × 3^1
18 = 2^1 × 3^2
HCF = 6
lowest power of each shared prime
LCM = 36
highest power of every prime

💡 HCF × LCM = 6 × 36 = 216 = 12 × 18 = 216. Always true — for two numbers.