LCM for 20 and 575
What's the Least Common Multiple (LCM) of 20 and 575?
(Two thousand, three hundred)
Finding LCM for 20 and 575 using GCF's of these numbers
The first method to find LCM for numbers 20 and 575 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 575 is 5, so
LCM = (20 × 575) ÷ 5
LCM = 11500 ÷ 5
LCM = 2300
Finding LCM for 20 and 575 by Listing Multiples
The second method to find LCM for numbers 20 and 575 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220, 1240, 1260, 1280, 1300, 1320, 1340, 1360, 1380, 1400, 1420, 1440, 1460, 1480, 1500, 1520, 1540, 1560, 1580, 1600, 1620, 1640, 1660, 1680, 1700, 1720, 1740, 1760, 1780, 1800, 1820, 1840, 1860, 1880, 1900, 1920, 1940, 1960, 1980, 2000, 2020, 2040, 2060, 2080, 2100, 2120, 2140, 2160, 2180, 2200, 2220, 2240, 2260, 2280, 2300, 2320, 2340
Multiples of 575: 575, 1150, 1725, 2300, 2875, 3450
So the LCM for 20 and 575 is 2300
Finding LCM for 20 and 575 by Prime Factorization
Another method to find LCM for numbers 20 and 575 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)
All Prime Factors of 575: 5, 5, 23 (exponent form: 52, 231)
22 × 52 × 231 = 2300
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
5 | 575 | 575 |
6 | 575 | 3450 |
7 | 575 | 4025 |
8 | 575 | 4600 |
9 | 575 | 5175 |
10 | 575 | 1150 |
11 | 575 | 6325 |
12 | 575 | 6900 |
13 | 575 | 7475 |
14 | 575 | 8050 |
15 | 575 | 1725 |
16 | 575 | 9200 |
17 | 575 | 9775 |
18 | 575 | 10350 |
19 | 575 | 10925 |
20 | 575 | 2300 |
21 | 575 | 12075 |
22 | 575 | 12650 |
23 | 575 | 575 |
24 | 575 | 13800 |
25 | 575 | 575 |
26 | 575 | 14950 |
27 | 575 | 15525 |
28 | 575 | 16100 |
29 | 575 | 16675 |
30 | 575 | 3450 |
31 | 575 | 17825 |
32 | 575 | 18400 |
33 | 575 | 18975 |
34 | 575 | 19550 |
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