Least Common Multiple (LCM) of 171 and 149
The least common multiple (LCM) of 171 and 149 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 171 and 149?
First, calculate the GCD of 171 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 149 = 1 remainder 22 |
| 2 | 149 ÷ 22 = 6 remainder 17 |
| 3 | 22 ÷ 17 = 1 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 60 | 1860 |
| 100 and 188 | 4700 |
| 63 and 58 | 3654 |
| 11 and 13 | 143 |
| 144 and 35 | 5040 |