Step-by-step explanation:
LCM is lowest common factor and HCF is highest common factor.
Given numbers are 236 and 92.
We can find it using prime factorization method.
Prime factorization of 236 = 2 x 2 x 59
Prime factorization of 92 = 2 x 2 x 23
HCF = 2 x 2 = 4
LCM = 2 x 2 x 59 x 23 = 5428
We know that,
LCM×HCF = product of two numbers
⇒ LCM×HCF = 5428×4 = 21712
⇒ product of two numbers = 236× 92 = 21712
Hence, proved.
