Least Common Multiple (LCM) of 68 and 191
The least common multiple (LCM) of 68 and 191 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 68 and 191?
First, calculate the GCD of 68 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 191 = 0 remainder 68 |
| 2 | 191 ÷ 68 = 2 remainder 55 |
| 3 | 68 ÷ 55 = 1 remainder 13 |
| 4 | 55 ÷ 13 = 4 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 139 | 18348 |
| 100 and 140 | 700 |
| 149 and 116 | 17284 |
| 28 and 195 | 5460 |
| 188 and 64 | 3008 |