which pair of numbers has an lcm of 18? 2 and 6 2 and 9 3 and 6 3 and 9

Explanation:

Step1: Recall LCM formula

LCM(a,b) is the smallest positive - integer that is divisible by both a and b.

Step2: Calculate LCM of 2 and 6

Prime - factorize: (2 = 2^1), (6=2^1\times3^1). LCM((2,6)=6).

Step3: Calculate LCM of 2 and 9

Prime - factorize: (2 = 2^1), (9 = 3^2). LCM((2,9)=2\times9 = 18).

Step4: Calculate LCM of 3 and 6

Prime - factorize: (3 = 3^1), (6=2^1\times3^1). LCM((3,6)=6).

Step5: Calculate LCM of 3 and 9

Prime - factorize: (3 = 3^1), (9 = 3^2). LCM((3,9)=9).

Answer:

2 and 9