Least Common Multiple (LCM) of 191 and 127
The least common multiple (LCM) of 191 and 127 is 24257.
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 127?
First, calculate the GCD of 191 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 127 = 1 remainder 64 |
| 2 | 127 ÷ 64 = 1 remainder 63 |
| 3 | 64 ÷ 63 = 1 remainder 1 |
| 4 | 63 ÷ 1 = 63 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 39 | 1170 |
| 47 and 196 | 9212 |
| 180 and 136 | 6120 |
| 84 and 55 | 4620 |
| 80 and 116 | 2320 |