What is the most efficient way to calculate the least common multiple of two integers?

The least common multiple (lcm) of a and b is their product divided by their greatest common divisor (gcd) ( i.e. lcm(a, b) = ab/gcd(a,b)).

So, the question becomes, how to find the gcd? The Euclidean algorithm is generally how the gcd is computed. The direct implementation of the classic algorithm is efficient, but there are variations that take advantage of binary arithmetic to do a little better. See Knuth‘s “The Art of Computer Programming” Volume 2, “Seminumerical Algorithms” § 4.5.2.

Related Posts:

  1. Converting bytes to megabytes
  2. Converting 3D polar coordinates to cartesian coordinates
  3. What is the C++ function to raise a number to a power?
  4. Unfamiliar symbol in algorithm: what does ∀ mean? [closed]
  5. How can I use “e” (Euler’s number) and power operation in python 2.7
  6. Python division
  7. Integer division in Java [duplicate]
  8. What does the ^ (XOR) operator do? [duplicate]
  9. Safest way to convert float to integer in python?
  10. How can I use “e” (Euler’s number) and power operation in python 2.7
  11. Calculating a 2D Vector’s Cross Product
  12. Java Round up Any Number
  13. JavaScript exponents
  14. What does != do/mean in python
  15. How to perform an integer division, and separately get the remainder, in JavaScript?
  16. How to perform an integer division, and separately get the remainder, in JavaScript?
  17. Clamping floating numbers in Python?
  18. How to round a number to significant figures in Python
  19. Lua replacement for the % operator
  20. How do you find the rightmost digit of an integer?
  21. What is the fastest factorial function in JavaScript?
  22. How to perform bilinear interpolation in Python
  23. What is the most efficient way to calculate the least common multiple of two integers?
  24. How can I convert a number from base 8 to base 10?
  25. Inverse of Tan in python (tan-1)
  26. Inverse Cosine in Python
  27. What is the maximum number of edges in a directed graph with n nodes?
  28. How to save decimal in java
  29. Probability of hash collision
  30. Round *UP* to the nearest 100 in SQL Server
  31. Rotating a Vector in 3D Space
  32. Mathematica matrix diagonalization
  33. In a triangulated isometric grid, what triangle is a given point in?
  34. Why prefer two’s complement over sign-and-magnitude for signed numbers?
  35. 1000 * 60 * 60 * 24 * 30 results in a negative number [duplicate]
  36. Python Math – TypeError: ‘NoneType’ object is not subscriptable
  37. numpy max vs amax vs maximum
  38. What do these operators mean (** , ^ , %, //)? [closed]
  39. What do these operators mean (** , ^ , %, //)? [closed]
  40. What is the behavior of integer division?
  41. syntaxerror: “unexpected character after line continuation character in python” math
  42. syntaxerror: “unexpected character after line continuation character in python” math
  43. TypeError: ‘float’ object is not callable
  44. Error: “expression must have integral or unscoped enum type” [duplicate]
  45. 1e-9 or -1e9, which one is correct?
  46. Error: all the input array dimensions except for the concatenation axis must match exactly
  47. syntaxerror: “unexpected character after line continuation character in python” math
  48. How do order of operations go on Python?
  49. How Does Modulus Divison Work
  50. How to round up to the next integer?
  51. What does numpy.gradient do?
  52. Python: OverflowError: math range error
  53. How can I use numpy.correlate to do autocorrelation?
  54. How can I convert radians to degrees with Python?
  55. Infinite integer in Python
  56. Overflow / math range error for log or exp
  57. How do I find the distance between two points?
  58. How can I check for NaN values?
  59. Python – how to use the constant e^
  60. What are the most widely used C++ vector/matrix math/linear algebra libraries, and their cost and benefit tradeoffs?
  61. What is the best math library to use with java?
  62. What is the best math library to use with java?
  63. log2 in python math module
  64. What is the difference between ‘/’ and ‘//’ when used for division?
  65. How can I check for NaN values?
  66. How to round up the result of integer division?
  67. how to draw a slope field in matlab
  68. How can I check if two segments intersect?
  69. Is log(n!) = Θ(n·log(n))?
  70. Mapping a numeric range onto another
  71. How to sum array of numbers in Ruby?
  72. python math domain errors in math.log function
  73. How to use scientific notation in js?
  74. Calculate distance between two latitude-longitude points? (Haversine formula)
  75. How to fix ‘RuntimeWarning: divide by zero encountered in double_scalars’
  76. Is there a math nCr function in python?
  77. Inverse Logistic Function / Reverse Sigmoid Function
  78. How do I compute derivative using Numpy?
  79. What is O(log* N)?
  80. Converting from Radians to Degrees
  81. Division of integers in Java
  82. Best way to represent a fraction in Java?
  83. What is the big-O of the function (log n)^k
  84. How to calculate an angle from three points?
  85. Is there a standard sign function (signum, sgn) in C/C++?
  86. Is there a math nCr function in python? [duplicate]
  87. Calculate Average Java
  88. What’s the difference between “mod” and “remainder”?
  89. Finding square root without using sqrt function?
  90. How to determine if a point is in a 2D triangle?
  91. Function to determine if two numbers are nearly equal when rounded to n significant decimal digits
  92. Direct way of computing clockwise angle between 2 vectors

Leave a Comment