Lcm of 12x and 40y! plz as soon as possible!

The least common multiple of 12x and 40y is 120xy.

Step-by-step explanation:

First, we need to get the prime factors of each number.

12x: 2 × 2 × 3 × X

40y: 2 × 2 × 2 × 5 × Y

Then, we need to see how many times each factor occurs in each factorization.

2 × 2 × 3 × X: 2 twice, 3 once, X once

2 × 2 × 2 × 5 × Y: 2 three times, 5 once, Y once

Finally, we need to multiply each factor the most number of times it occurs in either factorization.

The most times 2 appeared was 3 times.

3 once.

5 once.

X once.

Y once.

With that information, we do this:

2 × 2 × 2 × 3 × 5 × X × Y = 120xy

The least common multiple of 12x and 40y is 120xy.

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