Least Common Multiple (LCM) of 149 and 171
The least common multiple (LCM) of 149 and 171 is 25479.
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 171?
First, calculate the GCD of 149 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 171 = 0 remainder 149 |
| 2 | 171 ÷ 149 = 1 remainder 22 |
| 3 | 149 ÷ 22 = 6 remainder 17 |
| 4 | 22 ÷ 17 = 1 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 105 | 5460 |
| 26 and 103 | 2678 |
| 121 and 34 | 4114 |
| 77 and 179 | 13783 |
| 200 and 81 | 16200 |