The Least Common Multiple is 120xy.
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Oh, isn't that just a happy little question! To find the least common multiple (LCM) of 12x and 40y, we first break down the numbers into their prime factors: 12x = 2^2 * 3 * x and 40y = 2^3 * 5 * y. Then, we take the highest power of each prime factor that appears in either number, giving us the LCM of 2^3 * 3 * 5 * x * y = 120xy. There you go, a beautiful LCM to bring a smile to your day!
Alright, buckle up buttercup. The LCM of 12x and 40y is 120xy. Why? Because it's the smallest multiple that both 12x and 40y can divide into evenly. So there you have it, simple math for a complicated world.
LCM(12x, 8y) = 24xy.
120x
LCM(10y2 , 8y) = 40y2
60xy
Ah, isn't finding the least common multiple a joyous journey? The LCM of 4x and 3x is simply 12x, my friend. Just like painting a happy little tree, finding the LCM brings harmony and balance to your mathematical landscape.