Least Common Multiple (LCM) of 191 and 190
The least common multiple (LCM) of 191 and 190 is 36290.
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 190?
First, calculate the GCD of 191 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 190 = 1 remainder 1 |
| 2 | 190 ÷ 1 = 190 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 160 | 22880 |
| 196 and 100 | 4900 |
| 173 and 198 | 34254 |
| 198 and 82 | 8118 |
| 51 and 102 | 102 |