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Since 13 is prime and 18=2*3*3, the LCD would be 2*3*3*13, or 234
24: 2 * 2 * 2 * 3 30: 2 * 3 * 5 LCD is 2^3 * 3 * 5 = 120
To find the Least Common Denominator (LCD) of fractions, you first need to factor the denominators. The denominators are 40 and 18, which can be factored into 2^3 * 5 and 2 * 3^2, respectively. To find the LCD, you take the highest power of each prime factor that appears in either denominator, which in this case is 2^3 * 3^2 * 5. Therefore, the LCD of 3k/40 and k/18 is 2^3 * 3^2 * 5.
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