LCM for 270 and 300
What's the Least Common Multiple (LCM) of 270 and 300?
(Two thousand, seven hundred)
Finding LCM for 270 and 300 using GCF's of these numbers
The first method to find LCM for numbers 270 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 270 and 300 is 30, so
LCM = (270 × 300) ÷ 30
LCM = 81000 ÷ 30
LCM = 2700
Finding LCM for 270 and 300 by Listing Multiples
The second method to find LCM for numbers 270 and 300 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700, 2970, 3240
Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300
So the LCM for 270 and 300 is 2700
Finding LCM for 270 and 300 by Prime Factorization
Another method to find LCM for numbers 270 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)
All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)
22 × 33 × 52 = 2700
![What is the LCM of 270 and 300?. Find the LCM of 300 and 270 - the smallest common multiple of two integers.](https://calculat.io/en/number/least-common-multiple-lcm-of/270--300/generated.jpg)
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
255 | 300 | 5100 |
256 | 300 | 19200 |
257 | 300 | 77100 |
258 | 300 | 12900 |
259 | 300 | 77700 |
260 | 300 | 3900 |
261 | 300 | 26100 |
262 | 300 | 39300 |
263 | 300 | 78900 |
264 | 300 | 6600 |
265 | 300 | 15900 |
266 | 300 | 39900 |
267 | 300 | 26700 |
268 | 300 | 20100 |
269 | 300 | 80700 |
270 | 300 | 2700 |
271 | 300 | 81300 |
272 | 300 | 20400 |
273 | 300 | 27300 |
274 | 300 | 41100 |
275 | 300 | 3300 |
276 | 300 | 6900 |
277 | 300 | 83100 |
278 | 300 | 41700 |
279 | 300 | 27900 |
280 | 300 | 4200 |
281 | 300 | 84300 |
282 | 300 | 14100 |
283 | 300 | 84900 |
284 | 300 | 21300 |
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