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what two consecutive even number have an LCM of 1512 and a GCF of 2​

Sagot :

Answer:

The answer is 54  and  56.

Step-by-step explanation:

LCM

Find the prime factorization of 54.

2 x 3 x 3 x 3   or   2 x [tex]3^{3}[/tex]

Find the prime factorization of 56.

2 x 2 x 2 x 7  or  [tex]2^{3}[/tex] x 7

Now, Multiply all of their prime factorization

2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 or [tex]2^{3}[/tex] x [tex]3^{3}[/tex] x  [tex]7[/tex]

=1512

GCF

Find the prime factorization of 54 and 56.

To find the GCF, multiply all the prime factors common to both numbers.

Therefore the GCF of 54 and 56 is:

=2