The prime factorization of 10,800 using exponents is 2^4 x 3^3 x 5^2
10800
/ \
108 x 100
/ \ / \
12*9 x 5*10
/ \ \ \ /\
6*2*9 x 5*5*2
/\ / \ \ \ \
3*2*2*9 x 5x5x2
3x2x2x9x5x5x2
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No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
When all the factors are prime numbers, that's a prime factorization.
Prime factorization!
There is no need to do prime factorization as prime numbers are already prime.
To find the Least Common Multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 2700 is 2^2 * 3^3 * 5^2 and the prime factorization of 7800 is 2^3 * 3 * 5^2. Then, you take the highest power of each prime factor that appears in either number. In this case, the LCM of 2700 and 7800 is 2^3 * 3^3 * 5^2, which equals 10800.