Find the Least Common Multiple of of these two monomials: 16jk^8m^5 and 20j^9k^4m^6
A~ 80j^10k^12m^11
B~ 80j^9k^8m^6
C~ 4jk^4m^5
D~ 36j^9k^8^m^6

Question

sillybilly123 · Answer

$16jk^8m^5 = 4(4) j k^4 k^4 m^5 =  4 j k^4  m^5 (4 k^4)$

$20j^9k^4m^6 = 4 j  k^4 m^5 (5 j^8 m) $

$\implies gcd(16jk^8m^5, 20j^9k^4m^6) = 4 j  k^4 m^5$

$lcm( \alpha, \beta) = \dfrac{\alpha \beta}{gcd(\alpha, \beta)} = \dfrac{16jk^8m^5 \cdot 20j^9k^4m^6 }{4 j  k^4 m^5} = 80j^9k^8m^6 $