LCM for 82 and 122
What's the Least Common Multiple (LCM) of 82 and 122?
(Five thousand, two)
Finding LCM for 82 and 122 using GCF's of these numbers
The first method to find LCM for numbers 82 and 122 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 82 and 122 is 2, so
LCM = (82 × 122) ÷ 2
LCM = 10004 ÷ 2
LCM = 5002
Finding LCM for 82 and 122 by Listing Multiples
The second method to find LCM for numbers 82 and 122 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 82: 82, 164, 246, 328, 410, 492, 574, 656, 738, 820, 902, 984, 1066, 1148, 1230, 1312, 1394, 1476, 1558, 1640, 1722, 1804, 1886, 1968, 2050, 2132, 2214, 2296, 2378, 2460, 2542, 2624, 2706, 2788, 2870, 2952, 3034, 3116, 3198, 3280, 3362, 3444, 3526, 3608, 3690, 3772, 3854, 3936, 4018, 4100, 4182, 4264, 4346, 4428, 4510, 4592, 4674, 4756, 4838, 4920, 5002, 5084, 5166
Multiples of 122: 122, 244, 366, 488, 610, 732, 854, 976, 1098, 1220, 1342, 1464, 1586, 1708, 1830, 1952, 2074, 2196, 2318, 2440, 2562, 2684, 2806, 2928, 3050, 3172, 3294, 3416, 3538, 3660, 3782, 3904, 4026, 4148, 4270, 4392, 4514, 4636, 4758, 4880, 5002, 5124, 5246
So the LCM for 82 and 122 is 5002
Finding LCM for 82 and 122 by Prime Factorization
Another method to find LCM for numbers 82 and 122 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 82: 2, 41 (exponent form: 21, 411)
All Prime Factors of 122: 2, 61 (exponent form: 21, 611)
21 × 411 × 611 = 5002
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
67 | 122 | 8174 |
68 | 122 | 4148 |
69 | 122 | 8418 |
70 | 122 | 4270 |
71 | 122 | 8662 |
72 | 122 | 4392 |
73 | 122 | 8906 |
74 | 122 | 4514 |
75 | 122 | 9150 |
76 | 122 | 4636 |
77 | 122 | 9394 |
78 | 122 | 4758 |
79 | 122 | 9638 |
80 | 122 | 4880 |
81 | 122 | 9882 |
82 | 122 | 5002 |
83 | 122 | 10126 |
84 | 122 | 5124 |
85 | 122 | 10370 |
86 | 122 | 5246 |
87 | 122 | 10614 |
88 | 122 | 5368 |
89 | 122 | 10858 |
90 | 122 | 5490 |
91 | 122 | 11102 |
92 | 122 | 5612 |
93 | 122 | 11346 |
94 | 122 | 5734 |
95 | 122 | 11590 |
96 | 122 | 5856 |
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