Least Common Multiple (LCM) of 174 and 191
The least common multiple (LCM) of 174 and 191 is 33234.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 174 and 191?
First, calculate the GCD of 174 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 191 = 0 remainder 174 |
| 2 | 191 ÷ 174 = 1 remainder 17 |
| 3 | 174 ÷ 17 = 10 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 137 | 21920 |
| 161 and 85 | 13685 |
| 13 and 21 | 273 |
| 102 and 146 | 7446 |
| 162 and 10 | 810 |