what is the least common multiple
The least common multiple is the lowest possible number that has both numbers for a factor. For instance, if you are asked to find the LCM for 4 and 8, the LCM would be 8 because it is divisible by both 4 and 8. If you were given 3 and 4, the LCM would be 12, because it is the lowest possible number that is divisible by both 3 and 4.
Amy :)
To find the least common multiple (LCM) of two numbers, there are a couple of different approaches you can take.
One method is to list the multiples of each number until you find a common multiple.
Let's say we want to find the LCM of 4 and 8. We can start by listing the multiples of 4: 4, 8, 12, 16, 20, ... and the multiples of 8: 8, 16, 24, 32, 40, ...
Looking at the lists, we can see that the first common multiple is 8. So the LCM of 4 and 8 is 8.
If we want to find the LCM of 3 and 4, we can start by listing the multiples of 3: 3, 6, 9, 12, 15, ... and the multiples of 4: 4, 8, 12, 16, 20, ...
In this case, we see that the first common multiple is 12. So the LCM of 3 and 4 is 12.
Another method to find the LCM is by using prime factorization.
Let's say we want to find the LCM of 6 and 8. We can start by finding the prime factorization of each number:
6 = 2 * 3
8 = 2^3
To find the LCM, we take all the unique prime factors and the highest exponent for each factor.
In this case, the unique prime factors are 2 and 3, and their highest exponents are 3 for 2 and 1 for 3.
So the LCM of 6 and 8 is 2^3 * 3 = 24.
Both methods can be used to find the LCM, but the prime factorization method is often more efficient for larger numbers or multiple numbers.
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Leo!
L.C.M. or least common multiple means that the number which is mixture of both common and non common numbers.
For example: 56,24,12
56=2*2*2*7
24=2*2*2*3
12=2*2*3
Common factors are: 2*2*2*3
Common factors also called highest common factor or H.C.F.
Non common factor is: 7
Now we multiply both common and non common factors =2*2*2*3*7
The answer is: 168
In maths, everything is done by process.