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Find the unit digit of the LCM of 730011 and 73001+1.


Options:
A .   8
B .   6
C .   9
D .   4
E .   2
Answer: Option D
:
D

option d


730011 and 73001+1 are consecutive even natural numbers


Hence, their HCF=2


LCM=product of numbers HCF=(78001)212=7600212


76002 ends with 9 (use the concept of power cycle)


So 760021 ends in 8. We also know that as 76002 is a perfect square of an odd number, its tens digit will be even. So the required unit digit is 4.



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