what is the least common multiple of 15 and 25?\na 50\nb 75\nc 5\nd 40
what is the least common multiple of 15 and 25?\na 50\nb 75\nc 5\nd 40
Answer
Explanation:
Step1: Prime - factorize the numbers
$15 = 3\times5$; $25 = 5\times5$
Step2: Determine the LCM
The LCM takes the highest - power of each prime factor. For prime factor 3, the power is 1; for prime factor 5, the highest power is 2. So, $LCM(15,25)=3\times5^{2}=3\times25 = 75$
Answer:
B. 75