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A least common multiple of a and b is a common multiple that is minimal, in the sense that for any other common multiple n of a and b, m divides n. In general, two elements in a commutative ring can have no least common multiple or more than one. However, any two least common multiples of the same pair of elements are associates. [10]
The elements 2 and 1 + √ −3 are two maximal common divisors (that is, any common divisor which is a multiple of 2 is associated to 2, the same holds for 1 + √ −3, but they are not associated, so there is no greatest common divisor of a and b.
Synonyms for GCD include greatest common factor (GCF), highest common factor (HCF), highest common divisor (HCD), and greatest common measure (GCM). The greatest common divisor is often written as gcd( a , b ) or, more simply, as ( a , b ) , [ 3 ] although the latter notation is ambiguous, also used for concepts such as an ideal in the ring of ...
Lowest common factor may refer to the following mathematical terms: Greatest common divisor, also known as the greatest common factor; Least common multiple;
[1] the 7th colossally abundant number. [2] the 18th highly composite number. [3] the last highly composite number that is half of the next highly composite number. [4] the last highly composite number that is a divisor of all following highly composite numbers. [5] palindromic in undecimal (1991 11) and a repdigit in bases 55, 59, and 62.
1 Computing and mathematics. 2 Schools. 3 Transportation. 4 Other uses. 5 See also. Toggle the table of contents. LCM. ... Least common multiple, a function of two ...
The lowest common divisor is a term often mistakenly used to refer to: Lowest common denominator , the lowest common multiple of the denominators of a set of fractions Greatest common divisor , the largest positive integer that divides each of the integers
The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple. The product of the denominators is always a common denominator, as in: + = + =