LCM for 174 and 319
What's the Least Common Multiple (LCM) of 174 and 319?
(One thousand, nine hundred fourteen)
Finding LCM for 174 and 319 using GCF's of these numbers
The first method to find LCM for numbers 174 and 319 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 174 and 319 is 29, so
LCM = (174 × 319) ÷ 29
LCM = 55506 ÷ 29
LCM = 1914
Finding LCM for 174 and 319 by Listing Multiples
The second method to find LCM for numbers 174 and 319 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 174: 174, 348, 522, 696, 870, 1044, 1218, 1392, 1566, 1740, 1914, 2088, 2262
Multiples of 319: 319, 638, 957, 1276, 1595, 1914, 2233, 2552
So the LCM for 174 and 319 is 1914
Finding LCM for 174 and 319 by Prime Factorization
Another method to find LCM for numbers 174 and 319 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 174: 2, 3, 29 (exponent form: 21, 31, 291)
All Prime Factors of 319: 11, 29 (exponent form: 111, 291)
21 × 31 × 291 × 111 = 1914
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
159 | 319 | 50721 |
160 | 319 | 51040 |
161 | 319 | 51359 |
162 | 319 | 51678 |
163 | 319 | 51997 |
164 | 319 | 52316 |
165 | 319 | 4785 |
166 | 319 | 52954 |
167 | 319 | 53273 |
168 | 319 | 53592 |
169 | 319 | 53911 |
170 | 319 | 54230 |
171 | 319 | 54549 |
172 | 319 | 54868 |
173 | 319 | 55187 |
174 | 319 | 1914 |
175 | 319 | 55825 |
176 | 319 | 5104 |
177 | 319 | 56463 |
178 | 319 | 56782 |
179 | 319 | 57101 |
180 | 319 | 57420 |
181 | 319 | 57739 |
182 | 319 | 58058 |
183 | 319 | 58377 |
184 | 319 | 58696 |
185 | 319 | 59015 |
186 | 319 | 59334 |
187 | 319 | 5423 |
188 | 319 | 59972 |
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