Least Common Multiple (LCM) of 190 and 197
The least common multiple (LCM) of 190 and 197 is 37430.
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 197?
First, calculate the GCD of 190 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 197 = 0 remainder 190 |
| 2 | 197 ÷ 190 = 1 remainder 7 |
| 3 | 190 ÷ 7 = 27 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 17 | 3196 |
| 65 and 46 | 2990 |
| 161 and 148 | 23828 |
| 106 and 71 | 7526 |
| 152 and 100 | 3800 |