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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