Least Common Multiple (LCM) of 190 and 91
The least common multiple (LCM) of 190 and 91 is 17290.
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 190 and 91?
First, calculate the GCD of 190 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 91 = 2 remainder 8 |
| 2 | 91 ÷ 8 = 11 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 137 | 25893 |
| 55 and 57 | 3135 |
| 128 and 71 | 9088 |
| 40 and 67 | 2680 |
| 191 and 97 | 18527 |