Question

87,145 verify that their product hcf * lcm

Answer 1

Hi ,

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If 'a ' and ' b ' are two positive integers their HCF = h , and LCM = l 

then,

                          a × b = h × l

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According to the problem 

write given number 87 and 145 as product of prime.

87 = 3 × 29

145 = 5 ×29

HCF ( 87 , 145 ) = product of common prime factors = 29

LCM = maximum powers of prime factors =  3 × 5 ×29 = 435


Verification:
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i ) a × b = 87 × 145 = 12615

ii ) h × l = 29 × 435 = 12615

Therefore ,

                  a × b = h × l

I hope it is useful to you.

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