LCM for 45 and 165
What's the Least Common Multiple (LCM) of 45 and 165?
(Four hundred ninety-five)
Finding LCM for 45 and 165 using GCF's of these numbers
The first method to find LCM for numbers 45 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 165 is 15, so
LCM = (45 × 165) ÷ 15
LCM = 7425 ÷ 15
LCM = 495
Finding LCM for 45 and 165 by Listing Multiples
The second method to find LCM for numbers 45 and 165 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, 360, 405, 450, 495, 540, 585
Multiples of 165: 165, 330, 495, 660, 825
So the LCM for 45 and 165 is 495
Finding LCM for 45 and 165 by Prime Factorization
Another method to find LCM for numbers 45 and 165 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 165: 3, 5, 11 (exponent form: 31, 51, 111)
32 × 51 × 111 = 495
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/45--165">What is the LCM of 45 and 165? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 30 | 165 | 330 |
| 31 | 165 | 5115 |
| 32 | 165 | 5280 |
| 33 | 165 | 165 |
| 34 | 165 | 5610 |
| 35 | 165 | 1155 |
| 36 | 165 | 1980 |
| 37 | 165 | 6105 |
| 38 | 165 | 6270 |
| 39 | 165 | 2145 |
| 40 | 165 | 1320 |
| 41 | 165 | 6765 |
| 42 | 165 | 2310 |
| 43 | 165 | 7095 |
| 44 | 165 | 660 |
| 45 | 165 | 495 |
| 46 | 165 | 7590 |
| 47 | 165 | 7755 |
| 48 | 165 | 2640 |
| 49 | 165 | 8085 |
| 50 | 165 | 1650 |
| 51 | 165 | 2805 |
| 52 | 165 | 8580 |
| 53 | 165 | 8745 |
| 54 | 165 | 2970 |
| 55 | 165 | 165 |
| 56 | 165 | 9240 |
| 57 | 165 | 3135 |
| 58 | 165 | 9570 |
| 59 | 165 | 9735 |
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