Least Common Multiple (LCM) of 186 and 166
The least common multiple (LCM) of 186 and 166 is 15438.
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 186 and 166?
First, calculate the GCD of 186 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 166 = 1 remainder 20 |
| 2 | 166 ÷ 20 = 8 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 14 | 518 |
| 171 and 100 | 17100 |
| 150 and 107 | 16050 |
| 140 and 145 | 4060 |
| 114 and 12 | 228 |