LCM for 35 and 59
What's the Least Common Multiple (LCM) of 35 and 59?
(Two thousand, sixty-five)
Finding LCM for 35 and 59 using GCF's of these numbers
The first method to find LCM for numbers 35 and 59 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 35 and 59 is 1, so
LCM = (35 × 59) ÷ 1
LCM = 2065 ÷ 1
LCM = 2065
Finding LCM for 35 and 59 by Listing Multiples
The second method to find LCM for numbers 35 and 59 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330, 1365, 1400, 1435, 1470, 1505, 1540, 1575, 1610, 1645, 1680, 1715, 1750, 1785, 1820, 1855, 1890, 1925, 1960, 1995, 2030, 2065, 2100, 2135
Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183
So the LCM for 35 and 59 is 2065
Finding LCM for 35 and 59 by Prime Factorization
Another method to find LCM for numbers 35 and 59 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
All Prime Factors of 59: 59 (exponent form: 591)
51 × 71 × 591 = 2065
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
20 | 59 | 1180 |
21 | 59 | 1239 |
22 | 59 | 1298 |
23 | 59 | 1357 |
24 | 59 | 1416 |
25 | 59 | 1475 |
26 | 59 | 1534 |
27 | 59 | 1593 |
28 | 59 | 1652 |
29 | 59 | 1711 |
30 | 59 | 1770 |
31 | 59 | 1829 |
32 | 59 | 1888 |
33 | 59 | 1947 |
34 | 59 | 2006 |
35 | 59 | 2065 |
36 | 59 | 2124 |
37 | 59 | 2183 |
38 | 59 | 2242 |
39 | 59 | 2301 |
40 | 59 | 2360 |
41 | 59 | 2419 |
42 | 59 | 2478 |
43 | 59 | 2537 |
44 | 59 | 2596 |
45 | 59 | 2655 |
46 | 59 | 2714 |
47 | 59 | 2773 |
48 | 59 | 2832 |
49 | 59 | 2891 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers