LCM for 40 and 800
What's the Least Common Multiple (LCM) of 40 and 800?
(Eight hundred)
Finding LCM for 40 and 800 using GCF's of these numbers
The first method to find LCM for numbers 40 and 800 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 800 is 40, so
LCM = (40 × 800) ÷ 40
LCM = 32000 ÷ 40
LCM = 800
Finding LCM for 40 and 800 by Listing Multiples
The second method to find LCM for numbers 40 and 800 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
Multiples of 800: 800, 1600, 2400, 3200, 4000, 4800, 5600, 6400, 7200, 8000, 8800, 9600, 10400, 11200, 12000, 12800, 13600, 14400, 15200, 16000, 16800, 17600, [...], 800
So the LCM for 40 and 800 is 800
Finding LCM for 40 and 800 by Prime Factorization
Another method to find LCM for numbers 40 and 800 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 800: 2, 2, 2, 2, 2, 5, 5 (exponent form: 25, 52)
25 × 52 = 800
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
25 | 800 | 800 |
26 | 800 | 10400 |
27 | 800 | 21600 |
28 | 800 | 5600 |
29 | 800 | 23200 |
30 | 800 | 2400 |
31 | 800 | 24800 |
32 | 800 | 800 |
33 | 800 | 26400 |
34 | 800 | 13600 |
35 | 800 | 5600 |
36 | 800 | 7200 |
37 | 800 | 29600 |
38 | 800 | 15200 |
39 | 800 | 31200 |
40 | 800 | 800 |
41 | 800 | 32800 |
42 | 800 | 16800 |
43 | 800 | 34400 |
44 | 800 | 8800 |
45 | 800 | 7200 |
46 | 800 | 18400 |
47 | 800 | 37600 |
48 | 800 | 2400 |
49 | 800 | 39200 |
50 | 800 | 800 |
51 | 800 | 40800 |
52 | 800 | 10400 |
53 | 800 | 42400 |
54 | 800 | 21600 |
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