Question

write the relation between HCF and LCM of two numbers.
and verify taking two numbers 12 and 18

Answer 1

Prime factorization of
12=2²×3

18=2×3²

HCF=product of common prime factors of least power
HCF=2×3=6

LCM=product of each prime factor of highest power
LCM=2²×3²=36
Generally,
HCF×LCM=a×b

6×36=12×18

216=216
One more relationship is that HCF is always a factor of LCM.
LCM=HCF×y+0
where y is any natural number.

Answer 2

the relation is between lcm and hcf is
....
lcm x hcf= product of two 2numbers...
let us take 12 and18

12=2*3*2
18=2*3*3

HCF=3*2=6
LCM=3*2*3*2 =36
product of two numbers =hcf x lcm
12*18=6*36
216=216
varified

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