LCM for 13 and 65
What's the Least Common Multiple (LCM) of 13 and 65?
Answer
(Sixty-five)
Finding LCM for 13 and 65 using GCF of these numbers
The first method to find LCM for numbers 13 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 65 is 13, so
LCM = (13 × 65) ÷ 13
LCM = 845 ÷ 13
LCM = 65
Finding LCM for 13 and 65 by Listing Multiples
The second method to find LCM for numbers 13 and 65 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 13: 13, 26, 39, 52, 65, 78, 91
Multiples of 65: 65, 130, 195
So the LCM for 13 and 65 is 65
Finding LCM for 13 and 65 by Prime Factorization
Another method to find LCM for numbers 13 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 13: 13 (exponent form: 131)
All Prime Factors of 65: 5, 13 (exponent form: 51, 131)
131 × 51 = 65
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/13--65">What is the LCM of 13 and 65? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 65 | 65 |
| 2 | 65 | 130 |
| 3 | 65 | 195 |
| 4 | 65 | 260 |
| 5 | 65 | 65 |
| 6 | 65 | 390 |
| 7 | 65 | 455 |
| 8 | 65 | 520 |
| 9 | 65 | 585 |
| 10 | 65 | 130 |
| 11 | 65 | 715 |
| 12 | 65 | 780 |
| 13 | 65 | 65 |
| 14 | 65 | 910 |
| 15 | 65 | 195 |
| 16 | 65 | 1040 |
| 17 | 65 | 1105 |
| 18 | 65 | 1170 |
| 19 | 65 | 1235 |
| 20 | 65 | 260 |
| 21 | 65 | 1365 |
| 22 | 65 | 1430 |
| 23 | 65 | 1495 |
| 24 | 65 | 1560 |
| 25 | 65 | 325 |
| 26 | 65 | 130 |
| 27 | 65 | 1755 |
| 28 | 65 | 1820 |
| 29 | 65 | 1885 |
| 30 | 65 | 390 |
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