Least Common Multiple (LCM) of 148 and 171
The least common multiple (LCM) of 148 and 171 is 25308.
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 148 and 171?
First, calculate the GCD of 148 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 171 = 0 remainder 148 |
| 2 | 171 ÷ 148 = 1 remainder 23 |
| 3 | 148 ÷ 23 = 6 remainder 10 |
| 4 | 23 ÷ 10 = 2 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 149 | 8493 |
| 104 and 171 | 17784 |
| 40 and 177 | 7080 |
| 161 and 128 | 20608 |
| 80 and 126 | 5040 |