Polyrhythms will loop back at the LCM of each of the individual rhythms.
So if you have two polyrhythms: one with m beats per second (Bps)and the other with n bps, then they will repeat their pattern every p seconds where p is the LCM of m and n. If they are synchronised at any point in time, then their synchronicity will repeat every p seconds.
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To find the least common multiple, you need two terms. For example, the least common multiple of 120 and 5 would be 600 and the least common multiple of 120 and 16 would be 240. With one term, there is no least common multiple.
The least common multiple of 42 and 126 is 126.
Least Common Multiple (LCM) for 39 23 is 897.
The least common multiple of 27 and 63 is 189.
The Least Common Multiple (LCM) for 5 20 is 20.