LCM for 208 and 234
What's the Least Common Multiple (LCM) of 208 and 234?
(One thousand, eight hundred seventy-two)
Finding LCM for 208 and 234 using GCF's of these numbers
The first method to find LCM for numbers 208 and 234 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 208 and 234 is 26, so
LCM = (208 × 234) ÷ 26
LCM = 48672 ÷ 26
LCM = 1872
Finding LCM for 208 and 234 by Listing Multiples
The second method to find LCM for numbers 208 and 234 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 208: 208, 416, 624, 832, 1040, 1248, 1456, 1664, 1872, 2080, 2288
Multiples of 234: 234, 468, 702, 936, 1170, 1404, 1638, 1872, 2106, 2340
So the LCM for 208 and 234 is 1872
Finding LCM for 208 and 234 by Prime Factorization
Another method to find LCM for numbers 208 and 234 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)
All Prime Factors of 234: 2, 3, 3, 13 (exponent form: 21, 32, 131)
24 × 131 × 32 = 1872
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
193 | 234 | 45162 |
194 | 234 | 22698 |
195 | 234 | 1170 |
196 | 234 | 22932 |
197 | 234 | 46098 |
198 | 234 | 2574 |
199 | 234 | 46566 |
200 | 234 | 23400 |
201 | 234 | 15678 |
202 | 234 | 23634 |
203 | 234 | 47502 |
204 | 234 | 7956 |
205 | 234 | 47970 |
206 | 234 | 24102 |
207 | 234 | 5382 |
208 | 234 | 1872 |
209 | 234 | 48906 |
210 | 234 | 8190 |
211 | 234 | 49374 |
212 | 234 | 24804 |
213 | 234 | 16614 |
214 | 234 | 25038 |
215 | 234 | 50310 |
216 | 234 | 2808 |
217 | 234 | 50778 |
218 | 234 | 25506 |
219 | 234 | 17082 |
220 | 234 | 25740 |
221 | 234 | 3978 |
222 | 234 | 8658 |
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