What is the least common multiple of four and six?

Answer 1

LCM#=12#

We can simply list the multiples of 4 and 6:

#4: 4, 8, color(blue)12, 16, 20, 24, 28, 32, 36, 40, 44# #6: 6, color(blue)12, 18, 24, 30, 36, 42, 48, 54, 60, 66#
We see that 12 is the lowest multiple that #4# and #6# have in common, so that would be our LCM.
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Answer 2

It is #12#

A common multiple of #4# must have factors of #2xx2# (becasue #4# does) and also have factors of #2xx3# (as #6# does).
So any number whose factors inclus both #2xx2# and #2xx3# is a common multiple of #4# and #6#.
The least ( or smallest) common multiple has just #2xx2xx3#, so it is #12#
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Answer 3

#LCM = 2xx2xx3 = 12#

If two numbers do not have any common factors, (excluding #1#) then their LCM is their product.
The LCM of #7 and 8# is #7xx8 = 56# The LCM of #4 and 9# is # 4 xx 9 = 36#

However if there is a common factor, then we have to avoid duplicating that factor.

#" "4= color(blue)(2)xx2# #" "6 = color(blue)(2)" "xx3#
#LCM = color(blue)(2)xx2xx3 = 12#
In the LCM which is #12# :
there is #2xx2# which is the #4# there is #2xx3# which is the #6#
So #12# has both #4 and 6# as factors.
#2xx2xx2xx3 = 24# would be a common multiple as well, but it not the lowest.
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Answer 4

The least common multiple of four and six is 12.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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