LCM for 45 and 225
What's the Least Common Multiple (LCM) of 45 and 225?
(Two hundred twenty-five)
Finding LCM for 45 and 225 using GCF's of these numbers
The first method to find LCM for numbers 45 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 225 is 45, so
LCM = (45 × 225) ÷ 45
LCM = 10125 ÷ 45
LCM = 225
Finding LCM for 45 and 225 by Listing Multiples
The second method to find LCM for numbers 45 and 225 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315
Multiples of 225: 225, 450, 675, 900, 1125, 1350, 1575, [...], 225
So the LCM for 45 and 225 is 225
Finding LCM for 45 and 225 by Prime Factorization
Another method to find LCM for numbers 45 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 32, 52)
32 × 52 = 225
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
30 | 225 | 450 |
31 | 225 | 6975 |
32 | 225 | 7200 |
33 | 225 | 2475 |
34 | 225 | 7650 |
35 | 225 | 1575 |
36 | 225 | 900 |
37 | 225 | 8325 |
38 | 225 | 8550 |
39 | 225 | 2925 |
40 | 225 | 1800 |
41 | 225 | 9225 |
42 | 225 | 3150 |
43 | 225 | 9675 |
44 | 225 | 9900 |
45 | 225 | 225 |
46 | 225 | 10350 |
47 | 225 | 10575 |
48 | 225 | 3600 |
49 | 225 | 11025 |
50 | 225 | 450 |
51 | 225 | 3825 |
52 | 225 | 11700 |
53 | 225 | 11925 |
54 | 225 | 1350 |
55 | 225 | 2475 |
56 | 225 | 12600 |
57 | 225 | 4275 |
58 | 225 | 13050 |
59 | 225 | 13275 |
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