# All You Need to Know about LCM & GCF

This video covers Least Common Multiple and Greatest Common Factor. What are they? How do you find them? How does factorization play in?

Basic Operations | Least Common Multiple and Greatest Common Factor (LCM and GCF) |

### Transcript

Multiple let's Take a look at that one first Not

so close Let's Back it up a bit boys Keep

he beep There there There we go Uh first we

need to talk about what a multiple is save Got

the number six multiple is any number that can result

from multiplying are given number by any other number For

example you gonna multiply six by one to get six

by to get twelve Buy three to get eighteen by

four to get twenty four and so on Six twelve

eighteen and twenty four are all multiples of six If

you want to find the multiples of eight you can

multiply eight by one to get ate by two to

get sixteen and buy three to get twenty four We

could keep going but we can see you're in a

hurry if you want to find the least common multiple

Of six and a you need to find the smallest

number that shares both numbers as factors as you can

see it's unfortunately not as easy as merely multiplying the

numbers together G c f or greatest common factor is

basically the reverse When looking for a g c f

you need to find the largest number that will divide

evenly into two other Numbers take the numbers 36 and

forty eight okay wiseguy put him back suppose you're given

the number of thirty six and forty eight what factors

that they have in common Well both Numbers are even

so 2 works three is also a factor as our

foreign six but the greatest common factor the granddaddy of

them all is twelve shmoop a good way to find

the gcs is to first use prime factory ization thirty

six breaks down into two times two times three times

three forty eight breaks down into two times two times

two times two times three the Numbers that the 2

have in common are the two twos and a three

multiply those out and voila twelve practice finding l c

m's and gcs on your own and it will pay

Dividends Just don't let the catch you Those guys are 00:02:15.828 --> [endTime] not to be trifled with