Posted by Logan on Wednesday, October 10, 2012 at 10:55pm.
5a^2 = 5*a^2
16a^2 = 2^4 * a^2
take the highest power of each prime (assuming a is not divisible by 2 or 5)
LCM = 2^4*5*a^2 = 80a^2
17b^2 = 17*b^2
3b^3 = 3*b^3
LCM = 3*17*b^3 = 51b^3
The LCM is the smallest number that can be divided by each of the two given numbers.
another example: LCM(20,30,50,80):
20 = 2^2 * 5
30 = 2 * 3 * 5
50 = 2 * 5^2
80 = 2^4 * 5
LCM = 2^4 * 3 * 5^2 = 1200
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