Least Common Multiple (LCM) of 187 and 106
The least common multiple (LCM) of 187 and 106 is 19822.
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 187 and 106?
First, calculate the GCD of 187 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 106 = 1 remainder 81 |
| 2 | 106 ÷ 81 = 1 remainder 25 |
| 3 | 81 ÷ 25 = 3 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 90 | 7110 |
| 172 and 117 | 20124 |
| 97 and 167 | 16199 |
| 58 and 55 | 3190 |
| 24 and 67 | 1608 |