LCM for 80 and 270
What's the Least Common Multiple (LCM) of 80 and 270?
(Two thousand, one hundred sixty)
Finding LCM for 80 and 270 using GCF's of these numbers
The first method to find LCM for numbers 80 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 80 and 270 is 10, so
LCM = (80 × 270) ÷ 10
LCM = 21600 ÷ 10
LCM = 2160
Finding LCM for 80 and 270 by Listing Multiples
The second method to find LCM for numbers 80 and 270 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320
Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700
So the LCM for 80 and 270 is 2160
Finding LCM for 80 and 270 by Prime Factorization
Another method to find LCM for numbers 80 and 270 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)
24 × 51 × 33 = 2160
![What is the LCM of 80 and 270?. Find the LCM of 270 and 80 - the smallest common multiple of two integers.](https://calculat.io/en/number/least-common-multiple-lcm-of/80--270/generated.jpg)
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
65 | 270 | 3510 |
66 | 270 | 2970 |
67 | 270 | 18090 |
68 | 270 | 9180 |
69 | 270 | 6210 |
70 | 270 | 1890 |
71 | 270 | 19170 |
72 | 270 | 1080 |
73 | 270 | 19710 |
74 | 270 | 9990 |
75 | 270 | 1350 |
76 | 270 | 10260 |
77 | 270 | 20790 |
78 | 270 | 3510 |
79 | 270 | 21330 |
80 | 270 | 2160 |
81 | 270 | 810 |
82 | 270 | 11070 |
83 | 270 | 22410 |
84 | 270 | 3780 |
85 | 270 | 4590 |
86 | 270 | 11610 |
87 | 270 | 7830 |
88 | 270 | 11880 |
89 | 270 | 24030 |
90 | 270 | 270 |
91 | 270 | 24570 |
92 | 270 | 12420 |
93 | 270 | 8370 |
94 | 270 | 12690 |
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