Least Common Multiple (LCM) of 118 and 187
The least common multiple (LCM) of 118 and 187 is 22066.
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 187?
First, calculate the GCD of 118 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 187 = 0 remainder 118 |
| 2 | 187 ÷ 118 = 1 remainder 69 |
| 3 | 118 ÷ 69 = 1 remainder 49 |
| 4 | 69 ÷ 49 = 1 remainder 20 |
| 5 | 49 ÷ 20 = 2 remainder 9 |
| 6 | 20 ÷ 9 = 2 remainder 2 |
| 7 | 9 ÷ 2 = 4 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 142 | 27690 |
| 170 and 188 | 15980 |
| 52 and 54 | 1404 |
| 184 and 84 | 3864 |
| 183 and 189 | 11529 |