LCM for 66 and 243
What's the Least Common Multiple (LCM) of 66 and 243?
(Five thousand, three hundred forty-six)
Finding LCM for 66 and 243 using GCF's of these numbers
The first method to find LCM for numbers 66 and 243 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 66 and 243 is 3, so
LCM = (66 × 243) ÷ 3
LCM = 16038 ÷ 3
LCM = 5346
Finding LCM for 66 and 243 by Listing Multiples
The second method to find LCM for numbers 66 and 243 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, 2706, 2772, 2838, 2904, 2970, 3036, 3102, 3168, 3234, 3300, 3366, 3432, 3498, 3564, 3630, 3696, 3762, 3828, 3894, 3960, 4026, 4092, 4158, 4224, 4290, 4356, 4422, 4488, 4554, 4620, 4686, 4752, 4818, 4884, 4950, 5016, 5082, 5148, 5214, 5280, 5346, 5412, 5478
Multiples of 243: 243, 486, 729, 972, 1215, 1458, 1701, 1944, 2187, 2430, 2673, 2916, 3159, 3402, 3645, 3888, 4131, 4374, 4617, 4860, 5103, 5346, 5589, 5832
So the LCM for 66 and 243 is 5346
Finding LCM for 66 and 243 by Prime Factorization
Another method to find LCM for numbers 66 and 243 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 243: 3, 3, 3, 3, 3 (exponent form: 35)
21 × 35 × 111 = 5346
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
51 | 243 | 4131 |
52 | 243 | 12636 |
53 | 243 | 12879 |
54 | 243 | 486 |
55 | 243 | 13365 |
56 | 243 | 13608 |
57 | 243 | 4617 |
58 | 243 | 14094 |
59 | 243 | 14337 |
60 | 243 | 4860 |
61 | 243 | 14823 |
62 | 243 | 15066 |
63 | 243 | 1701 |
64 | 243 | 15552 |
65 | 243 | 15795 |
66 | 243 | 5346 |
67 | 243 | 16281 |
68 | 243 | 16524 |
69 | 243 | 5589 |
70 | 243 | 17010 |
71 | 243 | 17253 |
72 | 243 | 1944 |
73 | 243 | 17739 |
74 | 243 | 17982 |
75 | 243 | 6075 |
76 | 243 | 18468 |
77 | 243 | 18711 |
78 | 243 | 6318 |
79 | 243 | 19197 |
80 | 243 | 19440 |
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