LCM for 66 and 228
What's the Least Common Multiple (LCM) of 66 and 228?
(Two thousand, five hundred eight)
Finding LCM for 66 and 228 using GCF's of these numbers
The first method to find LCM for numbers 66 and 228 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 66 and 228 is 6, so
LCM = (66 × 228) ÷ 6
LCM = 15048 ÷ 6
LCM = 2508
Finding LCM for 66 and 228 by Listing Multiples
The second method to find LCM for numbers 66 and 228 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1056, 1122, 1188, 1254, 1320, 1386, 1452, 1518, 1584, 1650, 1716, 1782, 1848, 1914, 1980, 2046, 2112, 2178, 2244, 2310, 2376, 2442, 2508, 2574, 2640
Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596, 1824, 2052, 2280, 2508, 2736, 2964
So the LCM for 66 and 228 is 2508
Finding LCM for 66 and 228 by Prime Factorization
Another method to find LCM for numbers 66 and 228 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)
All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)
22 × 31 × 111 × 191 = 2508
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
51 | 228 | 3876 |
52 | 228 | 2964 |
53 | 228 | 12084 |
54 | 228 | 2052 |
55 | 228 | 12540 |
56 | 228 | 3192 |
57 | 228 | 228 |
58 | 228 | 6612 |
59 | 228 | 13452 |
60 | 228 | 1140 |
61 | 228 | 13908 |
62 | 228 | 7068 |
63 | 228 | 4788 |
64 | 228 | 3648 |
65 | 228 | 14820 |
66 | 228 | 2508 |
67 | 228 | 15276 |
68 | 228 | 3876 |
69 | 228 | 5244 |
70 | 228 | 7980 |
71 | 228 | 16188 |
72 | 228 | 1368 |
73 | 228 | 16644 |
74 | 228 | 8436 |
75 | 228 | 5700 |
76 | 228 | 228 |
77 | 228 | 17556 |
78 | 228 | 2964 |
79 | 228 | 18012 |
80 | 228 | 4560 |
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