Question

Find the least common multiple of these two expressions.
10v^6y^7 and 6w^4v^5y^3

Answer 1

10v⁶y⁷ = 2 * 5 * vvvvvv * yyyyyyy

6w⁴v⁵y³ = 2 * 3 * wwww * vvvvv * yyy

GCF: 2v⁴y³

The LCM is the GCF and everything leftover

LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)

= (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)

= 30 v⁵ w⁴ y⁷

Answer: LCM = 30v⁵w⁴y⁷