Least Common Multiple (LCM) of 118 and 197
The least common multiple (LCM) of 118 and 197 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 118 and 197?
First, calculate the GCD of 118 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 197 = 0 remainder 118 |
| 2 | 197 ÷ 118 = 1 remainder 79 |
| 3 | 118 ÷ 79 = 1 remainder 39 |
| 4 | 79 ÷ 39 = 2 remainder 1 |
| 5 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 40 | 3320 |
| 108 and 113 | 12204 |
| 195 and 142 | 27690 |
| 176 and 157 | 27632 |
| 48 and 172 | 2064 |