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

Question

Mathematics

Jaylen Jenkins

30 November, 22:14

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

+3

Answers (1)

Know the Answer?

Richard Franco · Answer 1

D) 2² * 3² * 5 * 7

Step-by-step explanation:

dа ta:

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

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

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