15a^3b^4, 42a^2b^5c (find LCM)

Question

find the LCM (least common multiple) of each of the follo.wing, 15a^3b^4, 42a^2b^5c (^ meaning "to the power of")

Answer 1

The monomials are 15a³b⁴ and 42a²b⁵c.

Find the prime factorization of each monomial.

15a³b⁴ = 3 * 5 * a³ * b⁴

42a²b⁵c = 2 * 3 * 7 * a² * b⁵ * c

Multiply the greatest power of each prime factor.

LCM = 2 * 3 * 5 * 7 * a³ * b⁵ * c

        = 210a³b⁵c.