LCM for 17 and 98
What's the Least Common Multiple (LCM) of 17 and 98?
Answer
(One thousand, six hundred sixty-six)
Finding LCM for 17 and 98 using GCF of these numbers
The first method to find LCM for numbers 17 and 98 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 17 and 98 is 1, so
LCM = (17 × 98) ÷ 1
LCM = 1666 ÷ 1
LCM = 1666
Finding LCM for 17 and 98 by Listing Multiples
The second method to find LCM for numbers 17 and 98 is to list out the common multiples for both numbers and pick the first one that matches:
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, 1088, 1105, 1122, 1139, 1156, 1173, 1190, 1207, 1224, 1241, 1258, 1275, 1292, 1309, 1326, 1343, 1360, 1377, 1394, 1411, 1428, 1445, 1462, 1479, 1496, 1513, 1530, 1547, 1564, 1581, 1598, 1615, 1632, 1649, 1666, 1683, 1700
Multiples of 98: 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666, 1764, 1862
So the LCM for 17 and 98 is 1666
Finding LCM for 17 and 98 by Prime Factorization
Another method to find LCM for numbers 17 and 98 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 98: 2, 7, 7 (exponent form: 21, 72)
171 × 21 × 72 = 1666
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--98">What is the LCM of 17 and 98? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 2 | 98 | 98 |
| 3 | 98 | 294 |
| 4 | 98 | 196 |
| 5 | 98 | 490 |
| 6 | 98 | 294 |
| 7 | 98 | 98 |
| 8 | 98 | 392 |
| 9 | 98 | 882 |
| 10 | 98 | 490 |
| 11 | 98 | 1078 |
| 12 | 98 | 588 |
| 13 | 98 | 1274 |
| 14 | 98 | 98 |
| 15 | 98 | 1470 |
| 16 | 98 | 784 |
| 17 | 98 | 1666 |
| 18 | 98 | 882 |
| 19 | 98 | 1862 |
| 20 | 98 | 980 |
| 21 | 98 | 294 |
| 22 | 98 | 1078 |
| 23 | 98 | 2254 |
| 24 | 98 | 1176 |
| 25 | 98 | 2450 |
| 26 | 98 | 1274 |
| 27 | 98 | 2646 |
| 28 | 98 | 196 |
| 29 | 98 | 2842 |
| 30 | 98 | 1470 |
| 31 | 98 | 3038 |
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