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