Least Common Multiple (LCM) of 197 and 59
The least common multiple (LCM) of 197 and 59 is 11623.
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 59?
First, calculate the GCD of 197 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 59 = 3 remainder 20 |
| 2 | 59 ÷ 20 = 2 remainder 19 |
| 3 | 20 ÷ 19 = 1 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 165 | 5115 |
| 120 and 110 | 1320 |
| 163 and 130 | 21190 |
| 62 and 53 | 3286 |
| 174 and 23 | 4002 |