Question

The least common multiple of 54 c 2de 3 and 38 c 4 is _____.

a. 342 c 2
b. 342 c 4de 3
c. 1,026 c 4
d. 1,026 c 4de 3

Answer 1

The least common multiple (LCM) of 54c2de3 and 38c4 is 1,026c4de3.

Step-by-step explanation:

The least common multiple (LCM) of 54c2de3 and 38c4 can be found by finding the prime factorization of both numbers and then taking the highest power of each prime factor.

Prime factorization of 54c2de3: 2 x 3^3 x 3 x 2 x d x e x e x e

Prime factorization of 38c4: 2 x 19 x 2 x 2 x 2 x c x c x c x c

Taking the highest power of each prime factor, we get: 2^3 x 3^3 x 19 x c^4 x d x e^3

Therefore, the LCM of 54c2de3 and 38c4 is 1,026c4de3.