what is the least common multiple of 72 and 120? a 90 b 360 c 2160 d 24
what is the least common multiple of 72 and 120? a 90 b 360 c 2160 d 24
Answer
Answer:
B. 360
Explanation:
Step1: Prime - factorize 72
$72=2^{3}\times3^{2}$
Step2: Prime - factorize 120
$120 = 2^{3}\times3\times5$
Step3: Find LCM
For the LCM, take the highest power of each prime factor. For 2, the highest power is 3; for 3, the highest power is 2; for 5, the highest power is 1. So, $LCM(72,120)=2^{3}\times3^{2}\times5=360$.