Least Common Multiple (LCM) of 149 and 166
The least common multiple (LCM) of 149 and 166 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 149 and 166?
First, calculate the GCD of 149 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 166 = 0 remainder 149 |
| 2 | 166 ÷ 149 = 1 remainder 17 |
| 3 | 149 ÷ 17 = 8 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 146 | 7446 |
| 163 and 183 | 29829 |
| 191 and 165 | 31515 |
| 69 and 198 | 4554 |
| 180 and 55 | 1980 |