Least Common Multiple (LCM) of 91 and 197
The least common multiple (LCM) of 91 and 197 is 17927.
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 91 and 197?
First, calculate the GCD of 91 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 197 = 0 remainder 91 |
| 2 | 197 ÷ 91 = 2 remainder 15 |
| 3 | 91 ÷ 15 = 6 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 38 | 1900 |
| 107 and 42 | 4494 |
| 123 and 160 | 19680 |
| 16 and 162 | 1296 |
| 163 and 38 | 6194 |