LCM for 34 and 99
What's the Least Common Multiple (LCM) of 34 and 99?
(Three thousand, three hundred sixty-six)
Finding LCM for 34 and 99 using GCF's of these numbers
The first method to find LCM for numbers 34 and 99 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 34 and 99 is 1, so
LCM = (34 × 99) ÷ 1
LCM = 3366 ÷ 1
LCM = 3366
Finding LCM for 34 and 99 by Listing Multiples
The second method to find LCM for numbers 34 and 99 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122, 1156, 1190, 1224, 1258, 1292, 1326, 1360, 1394, 1428, 1462, 1496, 1530, 1564, 1598, 1632, 1666, 1700, 1734, 1768, 1802, 1836, 1870, 1904, 1938, 1972, 2006, 2040, 2074, 2108, 2142, 2176, 2210, 2244, 2278, 2312, 2346, 2380, 2414, 2448, 2482, 2516, 2550, 2584, 2618, 2652, 2686, 2720, 2754, 2788, 2822, 2856, 2890, 2924, 2958, 2992, 3026, 3060, 3094, 3128, 3162, 3196, 3230, 3264, 3298, 3332, 3366, 3400, 3434
Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, 990, 1089, 1188, 1287, 1386, 1485, 1584, 1683, 1782, 1881, 1980, 2079, 2178, 2277, 2376, 2475, 2574, 2673, 2772, 2871, 2970, 3069, 3168, 3267, 3366, 3465, 3564
So the LCM for 34 and 99 is 3366
Finding LCM for 34 and 99 by Prime Factorization
Another method to find LCM for numbers 34 and 99 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
All Prime Factors of 99: 3, 3, 11 (exponent form: 32, 111)
21 × 171 × 32 × 111 = 3366
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/34--99">What is the LCM of 34 and 99? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 19 | 99 | 1881 |
| 20 | 99 | 1980 |
| 21 | 99 | 693 |
| 22 | 99 | 198 |
| 23 | 99 | 2277 |
| 24 | 99 | 792 |
| 25 | 99 | 2475 |
| 26 | 99 | 2574 |
| 27 | 99 | 297 |
| 28 | 99 | 2772 |
| 29 | 99 | 2871 |
| 30 | 99 | 990 |
| 31 | 99 | 3069 |
| 32 | 99 | 3168 |
| 33 | 99 | 99 |
| 34 | 99 | 3366 |
| 35 | 99 | 3465 |
| 36 | 99 | 396 |
| 37 | 99 | 3663 |
| 38 | 99 | 3762 |
| 39 | 99 | 1287 |
| 40 | 99 | 3960 |
| 41 | 99 | 4059 |
| 42 | 99 | 1386 |
| 43 | 99 | 4257 |
| 44 | 99 | 396 |
| 45 | 99 | 495 |
| 46 | 99 | 4554 |
| 47 | 99 | 4653 |
| 48 | 99 | 1584 |
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