LCM for 10 and 1000
What's the Least Common Multiple (LCM) of 10 and 1000?
(Thousand)
Finding LCM for 10 and 1000 using GCF's of these numbers
The first method to find LCM for numbers 10 and 1000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 1000 is 10, so
LCM = (10 × 1000) ÷ 10
LCM = 10000 ÷ 10
LCM = 1000
Finding LCM for 10 and 1000 by Listing Multiples
The second method to find LCM for numbers 10 and 1000 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000, 1010, 1020
Multiples of 1000: 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000, 20000, 21000, 22000, 23000, 24000, 25000, 26000, 27000, 28000, 29000, 30000, 31000, 32000, 33000, 34000, 35000, 36000, 37000, 38000, 39000, 40000, 41000, 42000, 43000, 44000, 45000, 46000, 47000, 48000, 49000, 50000, 51000, 52000, 53000, 54000, 55000, 56000, 57000, 58000, 59000, 60000, 61000, 62000, 63000, 64000, 65000, 66000, 67000, 68000, 69000, 70000, 71000, 72000, 73000, 74000, 75000, 76000, 77000, 78000, 79000, 80000, 81000, 82000, 83000, 84000, 85000, 86000, 87000, 88000, 89000, 90000, 91000, 92000, 93000, 94000, 95000, 96000, 97000, 98000, 99000, 100000, 101000, 102000, [...], 1000
So the LCM for 10 and 1000 is 1000
Finding LCM for 10 and 1000 by Prime Factorization
Another method to find LCM for numbers 10 and 1000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 1000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)
23 × 53 = 1000
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 1000 | 1000 |
2 | 1000 | 1000 |
3 | 1000 | 3000 |
4 | 1000 | 1000 |
5 | 1000 | 1000 |
6 | 1000 | 3000 |
7 | 1000 | 7000 |
8 | 1000 | 1000 |
9 | 1000 | 9000 |
10 | 1000 | 1000 |
11 | 1000 | 11000 |
12 | 1000 | 3000 |
13 | 1000 | 13000 |
14 | 1000 | 7000 |
15 | 1000 | 3000 |
16 | 1000 | 2000 |
17 | 1000 | 17000 |
18 | 1000 | 9000 |
19 | 1000 | 19000 |
20 | 1000 | 1000 |
21 | 1000 | 21000 |
22 | 1000 | 11000 |
23 | 1000 | 23000 |
24 | 1000 | 3000 |
25 | 1000 | 1000 |
26 | 1000 | 13000 |
27 | 1000 | 27000 |
28 | 1000 | 7000 |
29 | 1000 | 29000 |
30 | 1000 | 3000 |
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