what is the least common multiple

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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.

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.