Arithmetic & Number Theory

Least Common Multiple

Smallest common multiple of two integers.

Formula

Formula
lcm = a·bgcd(a, b)

Variables

SymbolDefinitionType & rangeUnitsRole
a first integer integer (ℤ) input
b second integer integer (ℤ) input
lcm least common multiple computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givena = 4, b = 6
Result12
Example 2
Givena = 21, b = 6
Result42