LCM for 18 and 387
What's the Least Common Multiple (LCM) of 18 and 387?
(Seven hundred seventy-four)
Finding LCM for 18 and 387 using GCF's of these numbers
The first method to find LCM for numbers 18 and 387 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 18 and 387 is 9, so
LCM = (18 × 387) ÷ 9
LCM = 6966 ÷ 9
LCM = 774
Finding LCM for 18 and 387 by Listing Multiples
The second method to find LCM for numbers 18 and 387 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666, 684, 702, 720, 738, 756, 774, 792, 810
Multiples of 387: 387, 774, 1161, 1548
So the LCM for 18 and 387 is 774
Finding LCM for 18 and 387 by Prime Factorization
Another method to find LCM for numbers 18 and 387 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)
All Prime Factors of 387: 3, 3, 43 (exponent form: 32, 431)
21 × 32 × 431 = 774
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
3 | 387 | 387 |
4 | 387 | 1548 |
5 | 387 | 1935 |
6 | 387 | 774 |
7 | 387 | 2709 |
8 | 387 | 3096 |
9 | 387 | 387 |
10 | 387 | 3870 |
11 | 387 | 4257 |
12 | 387 | 1548 |
13 | 387 | 5031 |
14 | 387 | 5418 |
15 | 387 | 1935 |
16 | 387 | 6192 |
17 | 387 | 6579 |
18 | 387 | 774 |
19 | 387 | 7353 |
20 | 387 | 7740 |
21 | 387 | 2709 |
22 | 387 | 8514 |
23 | 387 | 8901 |
24 | 387 | 3096 |
25 | 387 | 9675 |
26 | 387 | 10062 |
27 | 387 | 1161 |
28 | 387 | 10836 |
29 | 387 | 11223 |
30 | 387 | 3870 |
31 | 387 | 11997 |
32 | 387 | 12384 |
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