Least Common Multiple (LCM) of 172 and 171
The least common multiple (LCM) of 172 and 171 is 29412.
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 172 and 171?
First, calculate the GCD of 172 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 171 = 1 remainder 1 |
| 2 | 171 ÷ 1 = 171 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 170 | 11730 |
| 104 and 100 | 2600 |
| 12 and 198 | 396 |
| 110 and 140 | 1540 |
| 193 and 97 | 18721 |