Least Common Multiple (LCM) of 191 and 139
The least common multiple (LCM) of 191 and 139 is 26549.
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 139?
First, calculate the GCD of 191 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 139 = 1 remainder 52 |
| 2 | 139 ÷ 52 = 2 remainder 35 |
| 3 | 52 ÷ 35 = 1 remainder 17 |
| 4 | 35 ÷ 17 = 2 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 17 | 2006 |
| 15 and 115 | 345 |
| 177 and 153 | 9027 |
| 75 and 101 | 7575 |
| 16 and 188 | 752 |