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Number Puzzle #17- Maximum Multiplication -

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What is the largest number that can be made by multiplying two three-digit numbers together using each of the digits from 1 to 6 exactly once?

For example, 134 × 256 = 34,304. But this is not the largest number that can be made. What is?
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?