Least Common Multiple (LCM) of 166 and 149
The least common multiple (LCM) of 166 and 149 is 24734.
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 149?
First, calculate the GCD of 166 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 149 = 1 remainder 17 |
| 2 | 149 ÷ 17 = 8 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 98 | 7742 |
| 185 and 103 | 19055 |
| 147 and 45 | 2205 |
| 46 and 165 | 7590 |
| 109 and 185 | 20165 |