36. Odin tries to plant sunflower seeds every 63 m in a straight line from the mailbox in front of his house and dandelion seeds every 28 m . How many meters away from the mailbox are sunflower seeds and dandelion seeds planted in the same place for the first time?
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To find out when the sunflower seeds and dandelion seeds are planted in the same spot, we need to calculate the least common multiple (LCM) of the two distances: 63 meters and 28 meters. The prime factorization of 63 is 3^2 * 7, and for 28, it's 2^2 * 7. By taking the highest powers of each prime number, we get LCM = 2^2 * 3^2 * 7 = 4 * 9 * 7 = 252 meters. Therefore, the first time both seeds are planted in the same place would be 252 meters away from the mailbox! Isn't it amazing how math can help solve real-life gardening problems? Odin will be planting those seeds at 252 meters for a vibrant flower patch!