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if there are two payments a year, at the beginning of the year and at 6 months, plus one payment at the end of 21 months then at an annualised compound rate of 21.9% your money will double in 21 months.
(21-21)+(21-21)+21 = 0+0+21 = 21
The LCM is 21.
21
That would be the Guinea, it was a gold coin and was equal to 21 shillings in the British pre-decimal system.