Question

Two numbers are 86 and 66. verify that, their product of two numbers = HCF*LCM

Answer 1

86= 2×43
66=2×3×11

HCF = 2
LCM = 2x3x11x43=2838

Product of two numbers= 86x66= 5676
LCMx HCF = 2x 2838= 5676.
Hence the proof.

Answer 2

86 = 2×43

66 = 2×3×11

HCF = 2

LCM = 2× 3 × 11 × 43 = 2838

product of two number = 86× 66 = 5676

LCM×HCF = 2×2838 = 5675

Hence the proof

hope this helps to you