What is the l.c.m of 2x and 3y

The least common multiple (LCM) of 2x and 3y is 6xy.

To find the least common multiple (LCM) of 2x and 3y, we need to determine the factors of each term.

The factors of 2x are 2 and x (assuming x is a variable).
The factors of 3y are 3 and y.

To calculate the LCM, we need to find the highest power of each factor that appears in either term.

The LCM will be the product of the highest powers of each factor. In this case, the LCM of 2x and 3y will be:

LCM = 2 * 3 * x * y

Simplifying further, the LCM of 2x and 3y is:
LCM = 6xy