The ratio of lcm and hcf of the least composite and least prime number...
**Ratio of LCM and HCF**
The least composite number is 4 and the least prime number is 2. We need to find the ratio of their least common multiple (LCM) and highest common factor (HCF).
**Step 1: Find the LCM of 4 and 2**
To find the LCM, we need to find the smallest number that is divisible by both 4 and 2. The prime factorization of 4 is 2 × 2, and the prime factorization of 2 is 2. To find the LCM, we take the highest power of each prime factor:
LCM = 2^2 × 2 = 4 × 2 = 8
**Step 2: Find the HCF of 4 and 2**
To find the HCF, we need to find the largest number that divides both 4 and 2. The prime factorization of 4 is 2 × 2, and the prime factorization of 2 is 2. To find the HCF, we take the smallest power of each prime factor:
HCF = 2
**Step 3: Calculate the ratio**
The ratio of LCM to HCF is calculated by dividing the LCM by the HCF:
Ratio = LCM / HCF = 8 / 2 = 4
**Explanation**
The ratio of the LCM and HCF of the least composite number (4) and the least prime number (2) is 4. This means that the LCM is four times greater than the HCF.
The LCM is the smallest number that is divisible by both 4 and 2, which is 8. The HCF is the largest number that divides both 4 and 2, which is 2.
The ratio of 8 to 2 is 4, which means that the LCM is four times greater than the HCF.
In conclusion, the ratio of the LCM to HCF of the least composite number and the least prime number is 4.
The ratio of lcm and hcf of the least composite and least prime number...
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