LCM for 60 and 282
What's the Least Common Multiple (LCM) of 60 and 282?
(Two thousand, eight hundred twenty)
Finding LCM for 60 and 282 using GCF's of these numbers
The first method to find LCM for numbers 60 and 282 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 282 is 6, so
LCM = (60 × 282) ÷ 6
LCM = 16920 ÷ 6
LCM = 2820
Finding LCM for 60 and 282 by Listing Multiples
The second method to find LCM for numbers 60 and 282 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940
Multiples of 282: 282, 564, 846, 1128, 1410, 1692, 1974, 2256, 2538, 2820, 3102, 3384
So the LCM for 60 and 282 is 2820
Finding LCM for 60 and 282 by Prime Factorization
Another method to find LCM for numbers 60 and 282 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 282: 2, 3, 47 (exponent form: 21, 31, 471)
22 × 31 × 51 × 471 = 2820
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
45 | 282 | 4230 |
46 | 282 | 6486 |
47 | 282 | 282 |
48 | 282 | 2256 |
49 | 282 | 13818 |
50 | 282 | 7050 |
51 | 282 | 4794 |
52 | 282 | 7332 |
53 | 282 | 14946 |
54 | 282 | 2538 |
55 | 282 | 15510 |
56 | 282 | 7896 |
57 | 282 | 5358 |
58 | 282 | 8178 |
59 | 282 | 16638 |
60 | 282 | 2820 |
61 | 282 | 17202 |
62 | 282 | 8742 |
63 | 282 | 5922 |
64 | 282 | 9024 |
65 | 282 | 18330 |
66 | 282 | 3102 |
67 | 282 | 18894 |
68 | 282 | 9588 |
69 | 282 | 6486 |
70 | 282 | 9870 |
71 | 282 | 20022 |
72 | 282 | 3384 |
73 | 282 | 20586 |
74 | 282 | 10434 |
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