LCM for 26 and 260
What's the Least Common Multiple (LCM) of 26 and 260?
(Two hundred sixty)
Finding LCM for 26 and 260 using GCF's of these numbers
The first method to find LCM for numbers 26 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 26 and 260 is 26, so
LCM = (26 × 260) ÷ 26
LCM = 6760 ÷ 26
LCM = 260
Finding LCM for 26 and 260 by Listing Multiples
The second method to find LCM for numbers 26 and 260 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312
Multiples of 260: 260, 520, 780, 1040, 1300, 1560, 1820, 2080, 2340, 2600, 2860, 3120, [...], 260
So the LCM for 26 and 260 is 260
Finding LCM for 26 and 260 by Prime Factorization
Another method to find LCM for numbers 26 and 260 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 26: 2, 13 (exponent form: 21, 131)
All Prime Factors of 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)
22 × 131 × 51 = 260
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
11 | 260 | 2860 |
12 | 260 | 780 |
13 | 260 | 260 |
14 | 260 | 1820 |
15 | 260 | 780 |
16 | 260 | 1040 |
17 | 260 | 4420 |
18 | 260 | 2340 |
19 | 260 | 4940 |
20 | 260 | 260 |
21 | 260 | 5460 |
22 | 260 | 2860 |
23 | 260 | 5980 |
24 | 260 | 1560 |
25 | 260 | 1300 |
26 | 260 | 260 |
27 | 260 | 7020 |
28 | 260 | 1820 |
29 | 260 | 7540 |
30 | 260 | 780 |
31 | 260 | 8060 |
32 | 260 | 2080 |
33 | 260 | 8580 |
34 | 260 | 4420 |
35 | 260 | 1820 |
36 | 260 | 2340 |
37 | 260 | 9620 |
38 | 260 | 4940 |
39 | 260 | 780 |
40 | 260 | 520 |
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