Least Common Multiple (LCM) of 172 and 181
The least common multiple (LCM) of 172 and 181 is 31132.
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 181?
First, calculate the GCD of 172 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 181 = 0 remainder 172 |
| 2 | 181 ÷ 172 = 1 remainder 9 |
| 3 | 172 ÷ 9 = 19 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 100 | 12300 |
| 91 and 82 | 7462 |
| 149 and 24 | 3576 |
| 47 and 199 | 9353 |
| 74 and 33 | 2442 |