LCM for 22 and 37
What's the Least Common Multiple (LCM) of 22 and 37?
(Eight hundred fourteen)
Finding LCM for 22 and 37 using GCF's of these numbers
The first method to find LCM for numbers 22 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 22 and 37 is 1, so
LCM = (22 × 37) ÷ 1
LCM = 814 ÷ 1
LCM = 814
Finding LCM for 22 and 37 by Listing Multiples
The second method to find LCM for numbers 22 and 37 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858
Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888
So the LCM for 22 and 37 is 814
Finding LCM for 22 and 37 by Prime Factorization
Another method to find LCM for numbers 22 and 37 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 22: 2, 11 (exponent form: 21, 111)
All Prime Factors of 37: 37 (exponent form: 371)
21 × 111 × 371 = 814
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
7 | 37 | 259 |
8 | 37 | 296 |
9 | 37 | 333 |
10 | 37 | 370 |
11 | 37 | 407 |
12 | 37 | 444 |
13 | 37 | 481 |
14 | 37 | 518 |
15 | 37 | 555 |
16 | 37 | 592 |
17 | 37 | 629 |
18 | 37 | 666 |
19 | 37 | 703 |
20 | 37 | 740 |
21 | 37 | 777 |
22 | 37 | 814 |
23 | 37 | 851 |
24 | 37 | 888 |
25 | 37 | 925 |
26 | 37 | 962 |
27 | 37 | 999 |
28 | 37 | 1036 |
29 | 37 | 1073 |
30 | 37 | 1110 |
31 | 37 | 1147 |
32 | 37 | 1184 |
33 | 37 | 1221 |
34 | 37 | 1258 |
35 | 37 | 1295 |
36 | 37 | 1332 |
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