This is a homework question. I won't answer it directly, but I'll ask you some questions that lead you to the answer.
First, divide 30030 by 30 (why? because it looks like the larger number is divisible by 30). Does it divide evenly? If the answer is yes, both the answer and 30 are factors.
Use trial division to identify the prime factors of 30 and the answer to the above division, assuming the result was not a decimal.
Hint: there are six prime factors of 30030, and this particular group of prime factors is very special. These factors are the six _____ contiguous prime numbers. I found the answer in just a couple of minutes, using only paper and pencil.
30030 has six prime numbers in its factorization (2x3x5x7x11x13).
The prime factors of 30,030 are: 2, 3, 5, 7, 11 and 13.
2 x 3 x 5 x 7 x 11 x 13 = 30030
The prime factorization of 30030 is 2 x 3 x 5 x 7 x 11 x 13.
2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 3 x 5 x 7 x 11 x 13 = 30030
LCM = 6306300143*44100 = 6306300210*30030 = 6306300HCF = 210210*210 = 44100143*210 = 30030
If the primes are of multiplicity 1, then the answer is 30030. Otherwise it is 64.
The LCM is 30030.
2 x 3 x 5 x 7 x 11 x 13 = 30030
2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 3 x 5 x 7 x 11 x 13 = 30030
Prime factors are factors that are also prime numbers.
The three smallest prime numbers are 2, 3, and 5. 2*3*5=30, which would be the smallest applicable number.