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To find the least common multiple you first need to break 150 and 90 down into their prime factors:
150 = 2x3x5x5
90 = 2x3x3x5
The next step is to identify any common factors. In this case both numbers have a 2, a 3 and a 5 as a factor, so we can discard one of each. That leaves us with 2, 3, 3, 5 and 5. In order to find the LCM we multiply these numbers together:
2x3x3x5x5 = 450.
Thus the least common multiple of 150 and 90 is 450.
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