Least Common Multiple (LCM) of 187 and 166
The least common multiple (LCM) of 187 and 166 is 31042.
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 166?
First, calculate the GCD of 187 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 166 = 1 remainder 21 |
| 2 | 166 ÷ 21 = 7 remainder 19 |
| 3 | 21 ÷ 19 = 1 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 46 | 2990 |
| 129 and 90 | 3870 |
| 53 and 173 | 9169 |
| 139 and 11 | 1529 |
| 142 and 131 | 18602 |