Find the least common multiple of these two expressions 20w7

Find the least common multiple of these two expressions:

20w⁷x³ and 8v⁵w⁸x⁴

Solution

20w^7 x^3 and 8v^5 w^8 x^4

writing the two expressions in factored form

20w^7 x^3    =   2 * 2 * 5 * w * w* w * w * w * w * w * x * x * x

8v^5 w^8 x^4 = 2 * 2 * 2 *v*v*v*v*v* w * w* w* w* w* w * w* w* x * x* x * x

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LCM         =   2 * 2 * 2 * 5 *v*v*v*v*v* w*w*w*w*w*w*w*w*x*x*x*x

LCM ( least common multiple ) = 40 v^5 w^8 x^4