Multiply the LCM and HCF of 12 and 18
The LCM (Least Common Multiple) of 12 and 18 is 36.
The HCF (Highest Common Factor) of 12 and 18 is 6.
So, the product of the LCM and HCF is 36 x 6 = 216.
To solve this problem, we first need to find the LCM (Least Common Multiple) and HCF (Highest Common Factor) of 12 and 18.
Step 1: Find the Prime Factors of Both Numbers
Prime factorization of 12: 2 x 2 x 3
Prime factorization of 18: 2 x 3 x 3
Step 2: Find the LCM
LCM is the product of the highest power of each prime factor present in the numbers.
LCM of 12 and 18 = 2 x 2 x 3 x 3 = 36
Step 3: Find the HCF
HCF is the product of the common prime factors raised to the lowest power.
HCF of 12 and 18 = 2 x 3 = 6
Step 4: Multiply LCM and HCF
Multiply the LCM and HCF calculated above:
36 x 6 = 216
Therefore, the product of the LCM and HCF of 12 and 18 is 216.