Question

Find the HCF of 4095 and 1365 by prime factorisation hence. find their LCM? ​

Answer 1

Answer:

The prime factorsation 344=2×2×2×43=2

3

×43

60=2×2×3×5=2

2

×3×5

∴HCF(344,60)=2

2

We know that, LCM(a,b)×HCF(a,b)=a×b

∴LCM(a,b)=

HCF(a,b)

a×b

LCM(344,60)=

2×2

344×60

=5160