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The LCM (Least Common Multiple) of 115 and 15 is 345. The prime factors of 115 are 5 and 23. The prime factors of 15 are 3 and 5. Multiply the smallest encountered number of same factors, 3, 5, and 23, to get 345.
5, 10, 15 and 20 have five as a factor. The number 16 has five factors.
In this case, the one that has the least digits.
The smallest number with exactly 36 factors is 1260. The factors are: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, and 1260.