In arithmetic and number theory, the least common multiple (also called the lowest common multiple or smallest common multiple) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. If either a or b is 0, LCM(a, b) is defined to be zero.
The LCM is familiar from grade-school arithmetic as the "least common denominator" (LCD) that must be determined before fractions can be added, subtracted or compared.
The LCM of more than two integers is also well-defined: it is the smallest integer that is divisible by each of them.
Read more about Least Common Multiple: Overview, The LCM in Commutative Rings
Famous quotes containing the words common and/or multiple:
“I will not choose what many men desire,
Because I will not jump with common spirits,
And rank me with the barbarous multitudes.”
—William Shakespeare (1564–1616)
“Creativity seems to emerge from multiple experiences, coupled with a well-supported development of personal resources, including a sense of freedom to venture beyond the known.”
—Loris Malaguzzi (20th century)