LCM for 6 and 13
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 6 and 13?
Answer
(Seventy-eight)
Finding LCM for 6 and 13 using GCF of these numbers
The first method to find LCM for numbers 6 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 13 is 1, so
LCM = (6 × 13) ÷ 1
LCM = 78 ÷ 1
LCM = 78
Finding LCM for 6 and 13 by Listing Multiples
The second method to find LCM for numbers 6 and 13 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104
So the LCM for 6 and 13 is 78
Finding LCM for 6 and 13 by Prime Factorization
Another method to find LCM for numbers 6 and 13 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 13: 13 (exponent form: 131)
21 × 31 × 131 = 78
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 13 | 13 |
| 2 | 13 | 26 |
| 3 | 13 | 39 |
| 4 | 13 | 52 |
| 5 | 13 | 65 |
| 6 | 13 | 78 |
| 7 | 13 | 91 |
| 8 | 13 | 104 |
| 9 | 13 | 117 |
| 10 | 13 | 130 |
| 11 | 13 | 143 |
| 12 | 13 | 156 |
| 13 | 13 | 13 |
| 14 | 13 | 182 |
| 15 | 13 | 195 |
| 16 | 13 | 208 |
| 17 | 13 | 221 |
| 18 | 13 | 234 |
| 19 | 13 | 247 |
| 20 | 13 | 260 |
| 21 | 13 | 273 |
| 22 | 13 | 286 |
| 23 | 13 | 299 |
| 24 | 13 | 312 |
| 25 | 13 | 325 |
| 26 | 13 | 26 |
| 27 | 13 | 351 |
| 28 | 13 | 364 |
| 29 | 13 | 377 |
| 30 | 13 | 390 |
FAQ
What's the Least Common Multiple (LCM) of 6 and 13?
How to find the LCM of 6 and 13 using prime factorization?
What is the difference between LCM and GCF?
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