Least Common Multiple (LCM) of 171 and 154
The least common multiple (LCM) of 171 and 154 is 26334.
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 154?
First, calculate the GCD of 171 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 154 = 1 remainder 17 |
| 2 | 154 ÷ 17 = 9 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 178 | 16020 |
| 53 and 96 | 5088 |
| 124 and 11 | 1364 |
| 36 and 92 | 828 |
| 128 and 141 | 18048 |