Least Common Multiple (LCM) of 197 and 118
The least common multiple (LCM) of 197 and 118 is 23246.
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 118?
First, calculate the GCD of 197 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 118 = 1 remainder 79 |
| 2 | 118 ÷ 79 = 1 remainder 39 |
| 3 | 79 ÷ 39 = 2 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 109 | 3379 |
| 66 and 107 | 7062 |
| 189 and 140 | 3780 |
| 196 and 100 | 4900 |
| 130 and 43 | 5590 |