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The lowest common denominator (LCM) is the lowest whole number divisible by both denominators without a remainder.

EASY LCM:
multiply the two denominators, then divide the total by the greatest common factor (GCF) between the two denominators.

=(64*32)/32
=2,048/32
=64

-OR-

DETAILED METHOD
STEP 1:
Find prime factors of denominators.
8/64
64: 2 x 2 x 2 x 2 x 2 x 2

8/32
32: 2 x 2 x 2 x 2 x 2

STEP 2:
If factors occur more than once, multiply them the greater number of times they occur.

2 x 2 x 2 x 2 x 2 x 2= 64

ANSWER: The LCM of 8/64 and 8/32 is 64.

Hope this helps! :)
akposevictor

The lowest common denominator is 64.

First Step:

List out the multiples of the denominator of [tex]\frac{8}{64}[/tex] and [tex]\frac{8}{32}[/tex], till you find the first multiple that is common to both denominators:

32: 32, 64, 96

64: 64, 128, 192

From the above, we see that the first shared common multiples of 32 and 64 is 64. Therefore the lowest common denominator for [tex]\frac{8}{64}[/tex] and [tex]\frac{8}{32}[/tex] is 64.

Learn more about lowest common denominator here:

https://brainly.com/question/19039493

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