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python/snippets/lcm.md

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+---
+title: Least common multiple
+type: snippet
+tags: [math,list]
+cover: fruit-feast
+dateModified: 2020-11-02T19:31:15+02:00
+---
+
+Returns the least common multiple of a list of numbers.
+
+- Use `functools.reduce()`, `math.gcd()` and `lcm(x, y) = x * y / gcd(x, y)` over the given list.
+
+```py
+from functools import reduce
+from math import gcd
+
+def lcm(numbers):
+  return reduce((lambda x, y: int(x * y / gcd(x, y))), numbers)
+```
+
+```py
+lcm([12, 7]) # 84
+lcm([1, 3, 4, 5]) # 60
+```