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