Least Common Multiple (LCM) of 197 and 91
The least common multiple (LCM) of 197 and 91 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 197 and 91?
First, calculate the GCD of 197 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 91 = 2 remainder 15 |
| 2 | 91 ÷ 15 = 6 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 122 | 13786 |
| 121 and 23 | 2783 |
| 69 and 91 | 6279 |
| 145 and 26 | 3770 |
| 65 and 159 | 10335 |