Find the least common multiple of these two expressions. 10x6 w4 u7 and 8x8 w5 (the numbers are exponents by the way) Thank-you for the assistance ^^ it is greatly appreciated

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Because the variables are independent, the common multiple must include each variable from both expression, and power of each variable must be not less then in every expression.

The least common multiple has the least possible power for each variable, i.e. maximum from both expressions.

For x, the least possible power is max(6,8)=8. For w max(4,5)=5. For u max(7,0)=7.

And the constant factors, 10 and 8, also require least common multiple. It is 40 (10=2*5, 8=2^3, LCM=2^3*5).

(the sign ^ is for the power (exponent))

So the answer is 40*x^8*w^5*u^7.

The greatest common factor, if you need it also, is 2*x^6*w^4 (take min of the powers).

Approved by eNotes Editorial Team