Reference · Math

math.lcm

math.lcm(int | list...) -> int

What it does

The least common multiple of some ints, as Python's math.lcm: the smallest positive int that each of them divides. The ints come as separate arguments or as one list; math.lcm(4, 6) and math.lcm([4, 6]) are both 12. The answer is never negative.

Examples

print(math.lcm(4, 6), math.lcm(4, 6, 10), math.lcm([4, 6]))print(math.lcm(7, 13), math.lcm(-4, 6))

12 60 1291 12

Edge cases

• Any zero makes the answer 0: math.lcm(0, 5) is 0.
• One int gives its absolute value, and no ints at all (or an empty list) give 1, as in Python.
• Negative ints count by their absolute value.
• The multiple of many ints grows fast: past what an int holds (about 9.2 × 10¹⁸) it is a runtime error, integer overflow, not a float.

print(math.lcm(0, 5), math.lcm(7), math.lcm(), math.lcm([]), math.lcm(-4, -6))print(math.lcm(range(1, 21)))

0 7 1 1 12232792560

print(math.lcm(range(1, 50)))

line 1: integer overflow

Errors

An argument that is not an int, or a list item that is not, is a runtime error, not an error value. A list may only be the whole argument list.

print(math.lcm(4, "6"))

line 1: `math.lcm` expects an int as argument 2, got str

Chaining

A list in a pipeline is the only argument, so xs | math.lcm reduces the whole list; a number in a pipeline is the first of two. The lowest common denominator of some fractions:

print([4, 6, 10] | math.lcm)print(4 | math.lcm(6))let denominators = [2, 3, 4]print(denominators | math.lcm)

601212

See also

math.gcd, math.prod, math.factorial

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