If two positive integers a and b are expressible in the form a= pq² and b= p³q; P,q being prime numbers, find Lcm (a, b) and HCF (a, b).
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- a = pq^2
- b = p^3 q
- p and q are prime numbers
- HCF = pq
- LCM = p^3 q^2
Answered by
10
Answer:
Answer:
Given :
a = pq²& b = p³q, p & q are prime number.
The factors are as follows:
a = p¹ x q²
b = p³ x q¹
HCF (a,b) = pq²
Hence, p³q²
HCF= HCFof two or more numbers product of the greatest power of each common prime factor involved in the numbers with highest power.
hope it helps ✅✅
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