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# Least Common Multiple of 18 and 24?

TopThe smallest common factor between two or more Numbers is known as least common factors.
We also have formula for Least Common Multiple formula, and the formula for two variables is:

If we have two variables ‘w’ and ‘x’ then the least common formula for the two variables is:

Least common multiple (w, x) = $\frac{|w \cdot x|}{GCD(w, x)}$

This is applicable only when we have one variable value equals to zero.

For finding the least common multiple of 18 and 24, we need to follow some of the steps:

Step 1: First we take two numbers for finding the LCM.

Step 2: Then we find the factors of both the numbers.

Step 3: After finding the factors we find the common factor of both the numbers.

Step 4: For finding the least common multiple we have to multiply the common factor of both the number and we get least common multiple.

Suppose we have two numbers are 18 and 24 we have to find the least common multiple by using formula.

We can also use the formula for finding the least common multiple:

Least common multiple (w, x) = $\frac{|w \cdot x|}{GCD(w, x)}$

Here the value of ‘w’ is 18 and value of ‘x’ is 24.

If we put directly these values in the formula we get LCM.

So put the values in the given formula:

So the LCM (18, 24) = $\frac{18 \cdot 24}{GCD(18,24)}$

LCM (18, 24) = $\frac{18 \cdot 24}{6}$

For further solving we get 72.

So LCM of 18 and 24 is 72.

Now we will see least common multiple of 18 and 24 by another method.

Then we have to follow the above steps:

First we find the factor of 18.

The factor of 12 is = 2 * 3 * 3;

Now find the factor of 24;

So the factor of 24 is = 2 * 2 * 2 * 3;

Then we find the common factor of both numbers;

The common factor of both numbers is 2 and 3.

So least common multiple is 2 * 2 * 2 * 3 * 3 = 72.