Least Common Multiple (LCM) of 191 and 129
The least common multiple (LCM) of 191 and 129 is 24639.
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 129?
First, calculate the GCD of 191 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 129 = 1 remainder 62 |
| 2 | 129 ÷ 62 = 2 remainder 5 |
| 3 | 62 ÷ 5 = 12 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 73 | 11388 |
| 159 and 36 | 1908 |
| 175 and 81 | 14175 |
| 179 and 65 | 11635 |
| 53 and 91 | 4823 |