When we"re looking at the LCM (Least usual Multiple), we"re searching for a number the both 12 and also 15 room a aspect of. Oftentimes human being simply assume the if us multiply the two together, we"ll uncover it. In this case, it"d it is in #12xx15=180#. 180 is a multiple of both, however is it the least one? Let"s look.

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

#12=2xx2xx3#

#15=3xx5#

To uncover the LCM, we desire to have actually all the prime factors from both numbers accounted for.

For instance, there are two 2s (in the 12). Let"s placed those in:

#LCM=2xx2xx...#

There is one 3 in both the 12 and also the 15, so we need one 3:

#LCM=2xx2xx3xx...#

And there is one 5 (in the 15) for this reason let"s placed that in:

#LCM=2xx2xx3xx5=60#

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

sjc
january 30, 2018

#60#

Explanation:

another approach is to use teh relation

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

now #hcf(12,15)=3#

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

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

#lcm=4xx15=60#

Meave60
Feb 1, 2018

The LCM is #60#.

Explanation:

The LCM is the least typical multiple. We can uncover the LCM by listing the multiples of the two numbers and identifying the shortest multiple they have in common.

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

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

The LCM is #60#.

Parabola
Feb 1, 2018

#60#

Explanation:

Let"s try to find the LCM the #12# and #15#.

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

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

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We divide each number by your LCM.

#12/3=>4#

#15/3=>5#

We multiply these 2 quotients and the LCM to gain our final answer:

#3*4*5=60#