LCM for 28 and 294

What's the Least Common Multiple (LCM) of 28 and 294?

Answer: LCM of 28 and 294 is 588

(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

LCM Table

Number 1Number 2LCM
132943822
14294294
152941470
162942352
172944998
18294882
192945586
202942940
21294294
222943234
232946762
242941176
252947350
262943822
272942646
28294588
292948526
302941470
312949114
322944704
332943234
342944998
352941470
362941764
3729410878
382945586
392943822
402945880
4129412054
42294294

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 28 and 294? (The answer is: 588). Select the first number (e.g. '28') and the second number (e.g. '294'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 28 and 294?

LCM of 28 and 294 is 588