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 |
|---|---|
| 126 and 55 | 6930 |
| 151 and 119 | 17969 |
| 96 and 161 | 15456 |
| 155 and 193 | 29915 |
| 118 and 140 | 8260 |