Least Common Multiple (LCM) of 191 and 69
The least common multiple (LCM) of 191 and 69 is 13179.
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 69?
First, calculate the GCD of 191 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 69 = 2 remainder 53 |
| 2 | 69 ÷ 53 = 1 remainder 16 |
| 3 | 53 ÷ 16 = 3 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 161 | 26404 |
| 145 and 147 | 21315 |
| 103 and 179 | 18437 |
| 164 and 108 | 4428 |
| 42 and 147 | 294 |