LCM for 40 and 208
What's the Least Common Multiple (LCM) of 40 and 208?
(One thousand, forty)
Finding LCM for 40 and 208 using GCF's of these numbers
The first method to find LCM for numbers 40 and 208 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 208 is 8, so
LCM = (40 × 208) ÷ 8
LCM = 8320 ÷ 8
LCM = 1040
Finding LCM for 40 and 208 by Listing Multiples
The second method to find LCM for numbers 40 and 208 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120
Multiples of 208: 208, 416, 624, 832, 1040, 1248, 1456
So the LCM for 40 and 208 is 1040
Finding LCM for 40 and 208 by Prime Factorization
Another method to find LCM for numbers 40 and 208 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)
24 × 51 × 131 = 1040
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/40--208">What is the LCM of 40 and 208? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 208 | 5200 |
| 26 | 208 | 208 |
| 27 | 208 | 5616 |
| 28 | 208 | 1456 |
| 29 | 208 | 6032 |
| 30 | 208 | 3120 |
| 31 | 208 | 6448 |
| 32 | 208 | 416 |
| 33 | 208 | 6864 |
| 34 | 208 | 3536 |
| 35 | 208 | 7280 |
| 36 | 208 | 1872 |
| 37 | 208 | 7696 |
| 38 | 208 | 3952 |
| 39 | 208 | 624 |
| 40 | 208 | 1040 |
| 41 | 208 | 8528 |
| 42 | 208 | 4368 |
| 43 | 208 | 8944 |
| 44 | 208 | 2288 |
| 45 | 208 | 9360 |
| 46 | 208 | 4784 |
| 47 | 208 | 9776 |
| 48 | 208 | 624 |
| 49 | 208 | 10192 |
| 50 | 208 | 5200 |
| 51 | 208 | 10608 |
| 52 | 208 | 208 |
| 53 | 208 | 11024 |
| 54 | 208 | 5616 |
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