LCM(1…7)
420
Calculated
Least common multiple of the first seven positive integers
ArtThe Book of 42Scribe art
The smallest number that 1, 2, 3, 4, 5, 6 and 7 all divide is 420. It has exactly 24 positive divisors, and 42 is one of them. Seven factorial is 5,040, twelve times larger. Same family of sevens. Not Plato’s tribes.
What it supports
An exact arithmetic identity anyone can check: 2² × 3 × 5 × 7 = 420. Distinct from 5,040 ÷ 12 = 420. Two operations, one integer, two cards.
What it does not
Not 42. Not a calendar proof. Not Plato’s city. 420 is ten times 42 and remains a different family.
Calculation
2² × 3 × 5 × 7 = 420
Prime-factor lcm of 1 through 7
ExactnessExact
Form420
Unitinteger
Strengthhard