Least Common Multiple (LCM) of 191 and 174
The least common multiple (LCM) of 191 and 174 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 191 and 174?
First, calculate the GCD of 191 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 174 = 1 remainder 17 |
| 2 | 174 ÷ 17 = 10 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 49 | 2009 |
| 170 and 156 | 13260 |
| 90 and 197 | 17730 |
| 156 and 106 | 8268 |
| 45 and 55 | 495 |