Least Common Multiple (LCM) of 191 and 68
The least common multiple (LCM) of 191 and 68 is 12988.
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 68?
First, calculate the GCD of 191 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 68 = 2 remainder 55 |
| 2 | 68 ÷ 55 = 1 remainder 13 |
| 3 | 55 ÷ 13 = 4 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 148 | 3404 |
| 193 and 89 | 17177 |
| 66 and 109 | 7194 |
| 152 and 121 | 18392 |
| 142 and 13 | 1846 |