The lowest common multiple of two numbers is 36,one is 12 what might the other be?
12 = 2^2 * 3
36 = 2^2 * 3^2
So, 18 = 2*3^2 and 12 have an LCM of 36
To find the other number, we can use the concept of the lowest common multiple (LCM).
The LCM of two numbers is the smallest positive multiple that is divisible by both numbers.
Given that the LCM is 36 and one of the numbers is 12, let's denote the other number as 'x'.
Therefore, we have:
LCM(12, x) = 36
To find the value of 'x', we can divide both sides of the equation by 12:
LCM(12, x)/12 = 36/12
Simplifying:
LCM(1, x/12) = 3
Since the LCM of 1 and any number 'y' is always 'y', we have:
x/12 = 3
To solve for 'x', we multiply both sides of the equation by 12:
x/12 * 12 = 3 * 12
Simplifying:
x = 36
Therefore, the other number 'x' is also 36.