Question

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?​

Answer 1

Answer:

LCM greatest power of each prime factor involved

2a=2×a

3b=3×b

LCM = 2×3×a×b

=6ab

Answer 2

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: