When we"re looking at the LCM (Least Typical Multiple), we"re in search of a number that both 12 and also 15 are a element of. Oftentimes people sindicate assume that if we multiply the 2 together, we"ll uncover it. In this case, it"d be #12xx15=180#. 180 is a multiple of both, but is it the leastern one? Let"s look.

You are watching: What is the lcm of 12 and 15

I begin through a prime factorization of both numbers:

#12=2xx2xx3#

#15=3xx5#

To find the LCM, we want to have actually all the prime determinants from both numbers accounted for.

For instance, tright here are two 2s (in the 12). Let"s put those in:

#LCM=2xx2xx...#

Tright here is one 3 in both the 12 and also the 15, so we require one 3:

#LCM=2xx2xx3xx...#

And tright here is one 5 (in the 15) so let"s put that in:

#LCM=2xx2xx3xx5=60#

#12xx5=60##15xx3=60#


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sjc
Jan 30, 2018

#60#


Explanation:

another method is to usage teh relation

#ab=hcf(a,b)lcm(ab)#

currently #hcf(12,15)=3#

#:.12xx15=3xxlcm(12,15)#

#lcm(12,15)=(cancel(12)^4xx15)/cancel(3)#

#lcm=4xx15=60#


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Meave60
Feb 1, 2018

The LCM is #60#.


Explanation:

The LCM is the least common multiple. We can uncover the LCM by listing the multiples of the 2 numbers and also identifying the lowest multiple they have actually in widespread.

#12:##12,24,36,48,color(red)60,72,84...#

#15:##15,30,45,color(red)60...#

The LCM is #60#.


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Parabola
Feb 1, 2018

#60#


Explanation:

Let"s attempt to discover the LCM of #12# and #15#.

We get: #12=2*2*color(blue)3##15= color(blue)3*5#

We view that they both share #3# is their LCM.

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We divide each number by their LCM.

#12/3=>4#

#15/3=>5#

We multiply these 2 quotients and the LCM to acquire our last answer:

#3*4*5=60#

That is our answer!


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