Q:

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

Accepted Solution

A:
Answer:D) 2² × 3² × 5 × 7   Step-by-step 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