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Fungrim entry: a0d13f

Table of lcm ⁣(n,k)\operatorname{lcm}\!\left(n, k\right) for 0n150 \le n \le 15 and 0k150 \le k \le 15
nn \ kk 0123456789101112131415
00000000000000000
10123456789101112131415
20226410614818102212261430
303631215621249303312394215
4044124201228836204412522860
505101520530354045105560657015
6066612306422418306612784230
7071421283542756637077849114105
808824840245687240882410456120
9091893645186372990993611712645
10010103020103070409010110601307030
11011223344556677889911011132143154165
12012121212601284243660132121568460
1301326395265789110411713014315613182195
1401414422870421456126701548418214210
15015301560153010512045301656019521015
Table data: (n,k,y)\left(n, k, y\right) such that lcm ⁣(n,k)=y\operatorname{lcm}\!\left(n, k\right) = y
Definitions:
Fungrim symbol Notation Short description
LCMlcm ⁣(a,b)\operatorname{lcm}\!\left(a, b\right) Least common multiple
Source code for this entry:
Entry(ID("a0d13f"),
    Description("Table of", LCM(n, k), "for", LessEqual(0, n, 15), "and", LessEqual(0, k, 15)),
    Table(TableRelation(Tuple(n, k, y), Equal(LCM(n, k), y)), TableHeadings(Description(n, "\", k), 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), TableColumnHeadings(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), List(Tuple(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), Tuple(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), Tuple(0, 2, 2, 6, 4, 10, 6, 14, 8, 18, 10, 22, 12, 26, 14, 30), Tuple(0, 3, 6, 3, 12, 15, 6, 21, 24, 9, 30, 33, 12, 39, 42, 15), Tuple(0, 4, 4, 12, 4, 20, 12, 28, 8, 36, 20, 44, 12, 52, 28, 60), Tuple(0, 5, 10, 15, 20, 5, 30, 35, 40, 45, 10, 55, 60, 65, 70, 15), Tuple(0, 6, 6, 6, 12, 30, 6, 42, 24, 18, 30, 66, 12, 78, 42, 30), Tuple(0, 7, 14, 21, 28, 35, 42, 7, 56, 63, 70, 77, 84, 91, 14, 105), Tuple(0, 8, 8, 24, 8, 40, 24, 56, 8, 72, 40, 88, 24, 104, 56, 120), Tuple(0, 9, 18, 9, 36, 45, 18, 63, 72, 9, 90, 99, 36, 117, 126, 45), Tuple(0, 10, 10, 30, 20, 10, 30, 70, 40, 90, 10, 110, 60, 130, 70, 30), Tuple(0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 11, 132, 143, 154, 165), Tuple(0, 12, 12, 12, 12, 60, 12, 84, 24, 36, 60, 132, 12, 156, 84, 60), Tuple(0, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 13, 182, 195), Tuple(0, 14, 14, 42, 28, 70, 42, 14, 56, 126, 70, 154, 84, 182, 14, 210), Tuple(0, 15, 30, 15, 60, 15, 30, 105, 120, 45, 30, 165, 60, 195, 210, 15))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC