Least Common Multiple (LCM) of 166 and 186
The least common multiple (LCM) of 166 and 186 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 166 and 186?
First, calculate the GCD of 166 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 186 = 0 remainder 166 |
| 2 | 186 ÷ 166 = 1 remainder 20 |
| 3 | 166 ÷ 20 = 8 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 51 | 2397 |
| 70 and 50 | 350 |
| 109 and 152 | 16568 |
| 40 and 100 | 200 |
| 156 and 75 | 3900 |