Find the least common multiple of the two expressions
15v^4w^8 and 9vw^5x^4
15v^4w^8 and 9vw^5x^4
You need to find the least common factors
that these two expressions have in common.
LCM = 3vw^5
To find the least common multiple (LCM) of the two expressions 15v^4w^8 and 9vw^5x^4, we need to consider each variable and its highest exponent that appears in either expression.
Let's break down each expression and identify the variables and their exponents:
Expression 1: 15v^4w^8
- The variables are v and w.
- The exponents for v and w are 4 and 8, respectively.
Expression 2: 9vw^5x^4
- The variables are v, w, and x.
- The exponents for v, w, and x are 1, 5, and 4, respectively.
Now we can determine the LCM by taking the highest exponent for each variable:
- For v, the highest exponent is 4.
- For w, the highest exponent is 8.
- For x, the highest exponent is 4.
Therefore, the LCM of the two expressions is:
LCM = v^4w^8x^4
So, the least common multiple of the expressions 15v^4w^8 and 9vw^5x^4 is v^4w^8x^4.