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  2. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.

  3. Table of prime factors - Wikipedia

    en.wikipedia.org/wiki/Table_of_prime_factors

    lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.

  4. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    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:

  5. Product (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Product_(mathematics)

    In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.For example, 21 is the product of 3 and 7 (the result of multiplication), and (+) is the product of and (+) (indicating that the two factors should be multiplied together).

  6. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    The index of ⁠ 1 / k ⁠ where ⁠ n / i+1 ⁠ < k ≤ ⁠ n / i ⁠ and n is the least common multiple of the first i numbers, n = lcm([2, i]), is given by: [8] (/) = + = (). A similar expression was used as an approximation of I n ( x ) {\displaystyle I_{n}(x)} for low values of x {\displaystyle x} in the classical paper by F. Dress. [ 9 ]

  7. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_table

    In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144." [6]

  8. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    Multiplication is a mathematical operation of repeated addition. When two numbers are multiplied, the resulting value is a product. The numbers being multiplied are multiplicands, multipliers, or factors. Multiplication can be expressed as "five times three equals fifteen," "five times three is fifteen," or "fifteen is the product of five and ...

  9. Multiplicative function - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_function

    In number theory, a multiplicative function is an arithmetic function f(n) of a positive integer n with the property that f(1) = 1 and = () whenever a and b are coprime.. An arithmetic function f(n) is said to be completely multiplicative (or totally multiplicative) if f(1) = 1 and f(ab) = f(a)f(b) holds for all positive integers a and b, even when they are not coprime.

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