Any multiple of 60.
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The number would be (7x23456) + 1 = 164193
To find the least number divisible by 23456 with a remainder of 1, you need to find the least common multiple (LCM) of 23456 and the number 1 more than it. The LCM of two numbers is the smallest number that is a multiple of both numbers. In this case, you would calculate the LCM of 23456 and 23457. The LCM can be found by multiplying the two numbers and then dividing by their greatest common divisor.
23457 divided by 23456 leaves a remainder of 1, and it is divisible by 7. So that is one of infinitely many possible answers.
The most obvious answer would be 5, since 23,455 is divisible by 5 (as are all whole numbers that end in 5 or 0).
23,456 is an even number, and as such is not a prime number.