LCM for 28 and 294
What's the Least Common Multiple (LCM) of 28 and 294?
(Five hundred eighty-eight)
Finding LCM for 28 and 294 using GCF's of these numbers
The first method to find LCM for numbers 28 and 294 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 28 and 294 is 14, so
LCM = (28 × 294) ÷ 14
LCM = 8232 ÷ 14
LCM = 588
Finding LCM for 28 and 294 by Listing Multiples
The second method to find LCM for numbers 28 and 294 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644
Multiples of 294: 294, 588, 882, 1176
So the LCM for 28 and 294 is 588
Finding LCM for 28 and 294 by Prime Factorization
Another method to find LCM for numbers 28 and 294 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)
All Prime Factors of 294: 2, 3, 7, 7 (exponent form: 21, 31, 72)
22 × 72 × 31 = 588
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/28--294">What is the LCM of 28 and 294? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 13 | 294 | 3822 |
| 14 | 294 | 294 |
| 15 | 294 | 1470 |
| 16 | 294 | 2352 |
| 17 | 294 | 4998 |
| 18 | 294 | 882 |
| 19 | 294 | 5586 |
| 20 | 294 | 2940 |
| 21 | 294 | 294 |
| 22 | 294 | 3234 |
| 23 | 294 | 6762 |
| 24 | 294 | 1176 |
| 25 | 294 | 7350 |
| 26 | 294 | 3822 |
| 27 | 294 | 2646 |
| 28 | 294 | 588 |
| 29 | 294 | 8526 |
| 30 | 294 | 1470 |
| 31 | 294 | 9114 |
| 32 | 294 | 4704 |
| 33 | 294 | 3234 |
| 34 | 294 | 4998 |
| 35 | 294 | 1470 |
| 36 | 294 | 1764 |
| 37 | 294 | 10878 |
| 38 | 294 | 5586 |
| 39 | 294 | 3822 |
| 40 | 294 | 5880 |
| 41 | 294 | 12054 |
| 42 | 294 | 294 |
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