Posted by Logan on Wednesday, October 10, 2012 at 10:55pm.
Find the least common multiple of the monomials. 5a squared, and 16a cubed. Also 17b squared and 3b cubed. Could you show me how to do these.
Thank you,
Sandy

algebra  Steve, Thursday, October 11, 2012 at 10:19am
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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