LCM for 34 and 87
What's the Least Common Multiple (LCM) of 34 and 87?
(Two thousand, nine hundred fifty-eight)
Finding LCM for 34 and 87 using GCF's of these numbers
The first method to find LCM for numbers 34 and 87 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 34 and 87 is 1, so
LCM = (34 × 87) ÷ 1
LCM = 2958 ÷ 1
LCM = 2958
Finding LCM for 34 and 87 by Listing Multiples
The second method to find LCM for numbers 34 and 87 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
Multiples of 87: 87, 174, 261, 348, 435, 522, 609, 696, 783, 870, 957, 1044, 1131, 1218, 1305, 1392, 1479, 1566, 1653, 1740, 1827, 1914, 2001, 2088, 2175, 2262, 2349, 2436, 2523, 2610, 2697, 2784, 2871, 2958, 3045, 3132
So the LCM for 34 and 87 is 2958
Finding LCM for 34 and 87 by Prime Factorization
Another method to find LCM for numbers 34 and 87 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 87: 3, 29 (exponent form: 31, 291)
21 × 171 × 31 × 291 = 2958
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/34--87">What is the LCM of 34 and 87? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 19 | 87 | 1653 |
| 20 | 87 | 1740 |
| 21 | 87 | 609 |
| 22 | 87 | 1914 |
| 23 | 87 | 2001 |
| 24 | 87 | 696 |
| 25 | 87 | 2175 |
| 26 | 87 | 2262 |
| 27 | 87 | 783 |
| 28 | 87 | 2436 |
| 29 | 87 | 87 |
| 30 | 87 | 870 |
| 31 | 87 | 2697 |
| 32 | 87 | 2784 |
| 33 | 87 | 957 |
| 34 | 87 | 2958 |
| 35 | 87 | 3045 |
| 36 | 87 | 1044 |
| 37 | 87 | 3219 |
| 38 | 87 | 3306 |
| 39 | 87 | 1131 |
| 40 | 87 | 3480 |
| 41 | 87 | 3567 |
| 42 | 87 | 1218 |
| 43 | 87 | 3741 |
| 44 | 87 | 3828 |
| 45 | 87 | 1305 |
| 46 | 87 | 4002 |
| 47 | 87 | 4089 |
| 48 | 87 | 1392 |
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