Least Common Multiple (LCM) of 191 and 137
The least common multiple (LCM) of 191 and 137 is 26167.
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 137?
First, calculate the GCD of 191 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 137 = 1 remainder 54 |
| 2 | 137 ÷ 54 = 2 remainder 29 |
| 3 | 54 ÷ 29 = 1 remainder 25 |
| 4 | 29 ÷ 25 = 1 remainder 4 |
| 5 | 25 ÷ 4 = 6 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 25 | 350 |
| 138 and 55 | 7590 |
| 153 and 78 | 3978 |
| 184 and 67 | 12328 |
| 163 and 148 | 24124 |