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Find the smallest six-digit number which...

Find the smallest six-digit number which when divided by `15 and 6` leaves a remainder of `2` in each case.

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The smallest six digit number is `100000`, the LCM of 15 and 6 is 30.
The smallest six digit number exactly divisible by 30 is `100020`.
`therefore` The required number is `10020 +2 =100022`.
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