wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 7
If two positive integers p and q can be expressed as p = ab2 and q=a3b; where a, b being prime numbers, then LCM (p, q) is equal to

A) ab
B) a2b2
C) a3b2
D) a3b3

Open in App
Solution

The answer is C.
Given that, p=ab2=a×b×b
q=a3b=a×a×a×b

LCM is the product of the greatest power of each prime factor involved in the numbers

LCM of p and q = LCM (ab2,a3b)=a×a×a×b×b=a3b2


flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Energy From the Sea
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon