If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
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Answer:
LCM greatest power of each prime factor involved
2a=2×a
3b=3×b
LCM = 2×3×a×b
=6ab
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Answer:LCM of 3a and 2b will be 6p.
Since a is odd, it is not divisible by 2(so we need to multiply 2(from 2b) with the lcm of a and b.)
And since b is not divisible by 3, we need to multiply 3(from 3a) with the lcm of a and b.
So LCM of 3a and 2b = 2×3×(lcm of a and b) = 6p
Step-by-step explanation:
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