Question

find the least common multiple of 15 and 6.

Explanation:

Step1: Prime factorize 15 and 6

Prime factorization of 15: $15 = 3\times5$
Prime factorization of 6: $6 = 2\times3$

Step2: Identify highest powers of all primes

For prime 2: highest power is $2^1$
For prime 3: highest power is $3^1$
For prime 5: highest power is $5^1$

Step3: Calculate LCM

Multiply these highest powers: $2^1\times3^1\times5^1 = 30$

Answer:

30