LCM for 23 and 97
What's the Least Common Multiple (LCM) of 23 and 97?
(Two thousand, two hundred thirty-one)
Finding LCM for 23 and 97 using GCF's of these numbers
The first method to find LCM for numbers 23 and 97 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 23 and 97 is 1, so
LCM = (23 × 97) ÷ 1
LCM = 2231 ÷ 1
LCM = 2231
Finding LCM for 23 and 97 by Listing Multiples
The second method to find LCM for numbers 23 and 97 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897, 920, 943, 966, 989, 1012, 1035, 1058, 1081, 1104, 1127, 1150, 1173, 1196, 1219, 1242, 1265, 1288, 1311, 1334, 1357, 1380, 1403, 1426, 1449, 1472, 1495, 1518, 1541, 1564, 1587, 1610, 1633, 1656, 1679, 1702, 1725, 1748, 1771, 1794, 1817, 1840, 1863, 1886, 1909, 1932, 1955, 1978, 2001, 2024, 2047, 2070, 2093, 2116, 2139, 2162, 2185, 2208, 2231, 2254, 2277
Multiples of 97: 97, 194, 291, 388, 485, 582, 679, 776, 873, 970, 1067, 1164, 1261, 1358, 1455, 1552, 1649, 1746, 1843, 1940, 2037, 2134, 2231, 2328, 2425
So the LCM for 23 and 97 is 2231
Finding LCM for 23 and 97 by Prime Factorization
Another method to find LCM for numbers 23 and 97 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 23: 23 (exponent form: 231)
All Prime Factors of 97: 97 (exponent form: 971)
231 × 971 = 2231
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
8 | 97 | 776 |
9 | 97 | 873 |
10 | 97 | 970 |
11 | 97 | 1067 |
12 | 97 | 1164 |
13 | 97 | 1261 |
14 | 97 | 1358 |
15 | 97 | 1455 |
16 | 97 | 1552 |
17 | 97 | 1649 |
18 | 97 | 1746 |
19 | 97 | 1843 |
20 | 97 | 1940 |
21 | 97 | 2037 |
22 | 97 | 2134 |
23 | 97 | 2231 |
24 | 97 | 2328 |
25 | 97 | 2425 |
26 | 97 | 2522 |
27 | 97 | 2619 |
28 | 97 | 2716 |
29 | 97 | 2813 |
30 | 97 | 2910 |
31 | 97 | 3007 |
32 | 97 | 3104 |
33 | 97 | 3201 |
34 | 97 | 3298 |
35 | 97 | 3395 |
36 | 97 | 3492 |
37 | 97 | 3589 |
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