Least Common Multiple (LCM) of 191 and 138
The least common multiple (LCM) of 191 and 138 is 26358.
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 138?
First, calculate the GCD of 191 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 138 = 1 remainder 53 |
| 2 | 138 ÷ 53 = 2 remainder 32 |
| 3 | 53 ÷ 32 = 1 remainder 21 |
| 4 | 32 ÷ 21 = 1 remainder 11 |
| 5 | 21 ÷ 11 = 1 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 19 | 247 |
| 139 and 26 | 3614 |
| 33 and 107 | 3531 |
| 164 and 71 | 11644 |
| 68 and 111 | 7548 |