Question

find the lcm and hcf of 42 and 72 by the prime factorization method i.e. fundamental theorem of arithmetic

Answer 1

find hcf by drawing a tree n lcm by forming a table

Answer 2

Answer:

Prime factorisation of 42=2×3×7

Prime factorisation of 72=2×2×2×3×3

=2³×3²

∴HCF(42,72)=2×3=6

And, LCM(42,72)=2³×3²×7¹

=504