LCM for 17 and 61
What's the Least Common Multiple (LCM) of 17 and 61?
(One thousand, thirty-seven)
Finding LCM for 17 and 61 using GCF's of these numbers
The first method to find LCM for numbers 17 and 61 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 17 and 61 is 1, so
LCM = (17 × 61) ÷ 1
LCM = 1037 ÷ 1
LCM = 1037
Finding LCM for 17 and 61 by Listing Multiples
The second method to find LCM for numbers 17 and 61 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986, 1003, 1020, 1037, 1054, 1071
Multiples of 61: 61, 122, 183, 244, 305, 366, 427, 488, 549, 610, 671, 732, 793, 854, 915, 976, 1037, 1098, 1159
So the LCM for 17 and 61 is 1037
Finding LCM for 17 and 61 by Prime Factorization
Another method to find LCM for numbers 17 and 61 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 17: 17 (exponent form: 171)
All Prime Factors of 61: 61 (exponent form: 611)
171 × 611 = 1037
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/17--61">What is the LCM of 17 and 61? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 2 | 61 | 122 |
| 3 | 61 | 183 |
| 4 | 61 | 244 |
| 5 | 61 | 305 |
| 6 | 61 | 366 |
| 7 | 61 | 427 |
| 8 | 61 | 488 |
| 9 | 61 | 549 |
| 10 | 61 | 610 |
| 11 | 61 | 671 |
| 12 | 61 | 732 |
| 13 | 61 | 793 |
| 14 | 61 | 854 |
| 15 | 61 | 915 |
| 16 | 61 | 976 |
| 17 | 61 | 1037 |
| 18 | 61 | 1098 |
| 19 | 61 | 1159 |
| 20 | 61 | 1220 |
| 21 | 61 | 1281 |
| 22 | 61 | 1342 |
| 23 | 61 | 1403 |
| 24 | 61 | 1464 |
| 25 | 61 | 1525 |
| 26 | 61 | 1586 |
| 27 | 61 | 1647 |
| 28 | 61 | 1708 |
| 29 | 61 | 1769 |
| 30 | 61 | 1830 |
| 31 | 61 | 1891 |
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