In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted...

In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the lowest common multiple of the denominators of a set...

The phrase least common divisor is a confusion of the following two distinct concepts in arithmetic: Least common multiple Greatest common divisor This...

14}}={\frac {3}{4}}.} The least common multiple of two integers that are not both zero can be computed from their greatest common divisor, by using the relation...

{\operatorname {lcm} (m,n)}{n}}\right)} , where the numerators are both the least common multiple of m and n. The same pair is also the pushout. In any category with...

that are interesting for the given application (such as being the least common multiple of a set of numbers or the union of a collection of sets). On the...

finding the least common multiple of the indices of the roots, and substituting the variable for another variable with the least common multiple as exponent...

Saturn are approximately 12 and 30 solar years respectively. The least common multiple of these two orbital periods is ~60 solar years. Every sixty years...

finding the least common multiple of the indices of the roots, and substituting the variable for another variable with the least common multiple as exponent...

divisibility, for which the supremum is the least common multiple and the infimum is the greatest common divisor. Lattices can also be characterized as...

billiards provide a geometrical method to determine the least common multiple (LCM) and the greatest common divisor (GCD) of two natural numbers. It makes use...

(PAL/SECAM countries) refresh rate. The rate of 120 was chosen as the least common multiple of 24 fps (cinema) and 30 fps (NTSC TV), and allows for less distortion...

measured multiple different possible values of j {\displaystyle j} . To recover the actual r {\displaystyle r} value, we can take the least common multiple of...

lattice by taking the greatest common divisor as meet and the least common multiple as join. This lattice also has a least element, namely 1, which therefore...

Proposition 14 (In modern terminology: a least common multiple of several prime numbers is not a multiple of any other prime number.) Book IX, proposition...

elimination Greatest common divisor (GCD) Hello world program Hello world/Text Hofstadter Q sequence Infinity Least common multiple (LCM) Leonardo numbers...

denominator is given by the least common multiple of the single denominators, which results from dividing the rote multiple by all common factors of the single...

element of the symmetric group Sn. Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation...

common factor may refer to the following mathematical terms: Greatest common divisor, also known as the greatest common factor Least common multiple Lowest...

2\pi \times {\tfrac {\operatorname {LCM} (r,R)}{R}}} (where LCM is least common multiple). Special cases include the hypocycloid with d = r and the ellipse...

two given elements. Equivalently, any two elements of R have a least common multiple (LCM). A GCD domain generalizes a unique factorization domain (UFD)...

finite order. The exponent of such a group, if it exists, is the least common multiple of the orders of the elements. For example, it follows from Lagrange's...

αi. The generator polynomial of the BCH code is defined as the least common multiple g(x) = lcm(m1(x),…,md − 1(x)). It can be seen that g(x) is a polynomial...

for example 30 but not 12. The operations of greatest common divisor, least common multiple, and division into n (that is, ¬x = n/x), can be shown to...

and is twice as common in women as in men. MS was first described in 1868 by French neurologist Jean-Martin Charcot. The name "multiple sclerosis" is short...

partial ordering because of such facts as that char(A × B) is the least common multiple of char A and char B, and that no ring homomorphism f : A → B exists...

infections are common with multiple myeloma since the disease impairs the functioning of blood components that normally resist pathogens. The most common infections...

whose exponent vector is the componentwise minimum of A and B. The least common multiple lcm(M, N) is defined similarly with max instead of min. One has...

– Showing how much one number can go into another Least common denominator – Least common multiple of two or more fractions' denominators Factoring –...

number divisible by all integers from one to ten, i.e., it is their least common multiple. half of 7! (5040), meaning 7 factorial, or 1 × 2 × 3 × 4 × 5 ×...