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The LCM of two prime numbers K and P (where K > P) is 667. Find the value of 3P + K.
Question

The LCM of two prime numbers K and P (where K > P) is 667. Find the value of 3P + K.

A.

108

B.

128

C.

98

D.

88

Correct option is C

Given:

LCM of two prime numbers K and P is 667

K > P

Formula Used:
For two prime numbers, their LCM is simply the product of the two numbers:

LCM(K , P) = K × P

Solution:

K × P = 667

667 = 23 × 29

Thus, K = 29 and P = 23 (since K > P).

3P + K = 3 × 23 + 29 = 69 + 29 = 98

The value of 3P + K is 98.

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