LCM for 40 and 630
What's the Least Common Multiple (LCM) of 40 and 630?
(Two thousand, five hundred twenty)
Finding LCM for 40 and 630 using GCF's of these numbers
The first method to find LCM for numbers 40 and 630 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 630 is 10, so
LCM = (40 × 630) ÷ 10
LCM = 25200 ÷ 10
LCM = 2520
Finding LCM for 40 and 630 by Listing Multiples
The second method to find LCM for numbers 40 and 630 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, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160, 2200, 2240, 2280, 2320, 2360, 2400, 2440, 2480, 2520, 2560, 2600
Multiples of 630: 630, 1260, 1890, 2520, 3150, 3780
So the LCM for 40 and 630 is 2520
Finding LCM for 40 and 630 by Prime Factorization
Another method to find LCM for numbers 40 and 630 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 630: 2, 3, 3, 5, 7 (exponent form: 21, 32, 51, 71)
23 × 51 × 32 × 71 = 2520
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
25 | 630 | 3150 |
26 | 630 | 8190 |
27 | 630 | 1890 |
28 | 630 | 1260 |
29 | 630 | 18270 |
30 | 630 | 630 |
31 | 630 | 19530 |
32 | 630 | 10080 |
33 | 630 | 6930 |
34 | 630 | 10710 |
35 | 630 | 630 |
36 | 630 | 1260 |
37 | 630 | 23310 |
38 | 630 | 11970 |
39 | 630 | 8190 |
40 | 630 | 2520 |
41 | 630 | 25830 |
42 | 630 | 630 |
43 | 630 | 27090 |
44 | 630 | 13860 |
45 | 630 | 630 |
46 | 630 | 14490 |
47 | 630 | 29610 |
48 | 630 | 5040 |
49 | 630 | 4410 |
50 | 630 | 3150 |
51 | 630 | 10710 |
52 | 630 | 16380 |
53 | 630 | 33390 |
54 | 630 | 1890 |
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