LCM for 39 and 104
What's the Least Common Multiple (LCM) of 39 and 104?
(Three hundred twelve)
Finding LCM for 39 and 104 using GCF's of these numbers
The first method to find LCM for numbers 39 and 104 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 104 is 13, so
LCM = (39 × 104) ÷ 13
LCM = 4056 ÷ 13
LCM = 312
Finding LCM for 39 and 104 by Listing Multiples
The second method to find LCM for numbers 39 and 104 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390
Multiples of 104: 104, 208, 312, 416, 520
So the LCM for 39 and 104 is 312
Finding LCM for 39 and 104 by Prime Factorization
Another method to find LCM for numbers 39 and 104 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 104: 2, 2, 2, 13 (exponent form: 23, 131)
31 × 131 × 23 = 312
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/39--104">What is the LCM of 39 and 104? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 24 | 104 | 312 |
| 25 | 104 | 2600 |
| 26 | 104 | 104 |
| 27 | 104 | 2808 |
| 28 | 104 | 728 |
| 29 | 104 | 3016 |
| 30 | 104 | 1560 |
| 31 | 104 | 3224 |
| 32 | 104 | 416 |
| 33 | 104 | 3432 |
| 34 | 104 | 1768 |
| 35 | 104 | 3640 |
| 36 | 104 | 936 |
| 37 | 104 | 3848 |
| 38 | 104 | 1976 |
| 39 | 104 | 312 |
| 40 | 104 | 520 |
| 41 | 104 | 4264 |
| 42 | 104 | 2184 |
| 43 | 104 | 4472 |
| 44 | 104 | 1144 |
| 45 | 104 | 4680 |
| 46 | 104 | 2392 |
| 47 | 104 | 4888 |
| 48 | 104 | 624 |
| 49 | 104 | 5096 |
| 50 | 104 | 2600 |
| 51 | 104 | 5304 |
| 52 | 104 | 104 |
| 53 | 104 | 5512 |
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