LCM for 30 and 165
What's the Least Common Multiple (LCM) of 30 and 165?
(Three hundred thirty)
Finding LCM for 30 and 165 using GCF's of these numbers
The first method to find LCM for numbers 30 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 165 is 15, so
LCM = (30 × 165) ÷ 15
LCM = 4950 ÷ 15
LCM = 330
Finding LCM for 30 and 165 by Listing Multiples
The second method to find LCM for numbers 30 and 165 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390
Multiples of 165: 165, 330, 495, 660
So the LCM for 30 and 165 is 330
Finding LCM for 30 and 165 by Prime Factorization
Another method to find LCM for numbers 30 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)
21 × 31 × 51 × 111 = 330
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
15 | 165 | 165 |
16 | 165 | 2640 |
17 | 165 | 2805 |
18 | 165 | 990 |
19 | 165 | 3135 |
20 | 165 | 660 |
21 | 165 | 1155 |
22 | 165 | 330 |
23 | 165 | 3795 |
24 | 165 | 1320 |
25 | 165 | 825 |
26 | 165 | 4290 |
27 | 165 | 1485 |
28 | 165 | 4620 |
29 | 165 | 4785 |
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 |
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