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LCM & HCF

· Formula

🧮 Formula Reference Sheet

HCF: largest number dividing both
LCM: smallest number divisible by both
For a, b:  LCM × HCF = a × b
Euclid: HCF(a,b) = HCF(b, a mod b)
Use: 12=2²·3, 18=2·3² → HCF=2·3=6, LCM=2²·3²=36

⚡ Example per formula

HCF: largest number dividing both

HCF(24, 36) = 12

LCM: smallest number divisible by both

LCM(4, 6) = 12

For a, b: LCM × HCF = a × b

HCF(24, 36) = 12

Euclid: HCF(a,b) = HCF(b, a mod b)

HCF(24, 36) = 12

Use: 12=2²·3, 18=2·3² → HCF=2·3=6, LCM=2²·3²=36

HCF(24, 36) = 12

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