Question

Two numbers have prime factorizations of 2^ 2 • 3 • 5 and 2 • 3^ 2 • 7. Which expression can be used to find their least common multiple?

A. 2^3 • 3^3 • 5 • 7
B. 2 • 3
C. 2^ 2 • 3^ 2
D. 2^2 • 3^2 • 5 • 7

Answer 1

D) 2² × 3² × 5 × 7

Explanation:

Data:

Factors of first number = 2² × 3 × 5

Factors of second number = 2 × 3² × 2 × 7

Calculations:

Rewrite the factors in ascending order

Factors of first number = 2² × 3 × 5

Factors of second number = 2² × 3² × 7

Multiply each factor by the greatest number of times it occurs in either number

LCM = 2² × 3² × 5 × 7